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Finding the Fourth Proportional to 106,102.72, 159,154.08 and 50,530.24

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Solution

The fourth proportional to 106,102.72, 159,154.08 and 50,530.24 is: 75,795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,102.72 : 159,154.08 = 50,530.24 : x
  2. Step 2: Convert to fraction form
    106,102.72/159,154.08 = 50,530.24/x
  3. Step 3: Cross multiply
    106,102.72x = 159,154.08 × 50,530.24
  4. Step 4: Simplify right side
    106,102.72x = 8,042,093,859.38
  5. Step 5: Solve for x
    x = 8,042,093,859.38/106,102.72
  6. Step 6: Final answer
    x = 75,795.36

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.