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Finding the Fourth Proportional to 106,609.53, 147,129.78 and 61,302.24

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Solution

The fourth proportional to 106,609.53, 147,129.78 and 61,302.24 is: 84,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,609.53 : 147,129.78 = 61,302.24 : x
  2. Step 2: Convert to fraction form
    106,609.53/147,129.78 = 61,302.24/x
  3. Step 3: Cross multiply
    106,609.53x = 147,129.78 × 61,302.24
  4. Step 4: Simplify right side
    106,609.53x = 9,019,385,084.71
  5. Step 5: Solve for x
    x = 9,019,385,084.71/106,609.53
  6. Step 6: Final answer
    x = 84,602.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.