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Finding the Fourth Proportional to 202,152.54, 303,228.81 and 113,468.34

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Solution

The fourth proportional to 202,152.54, 303,228.81 and 113,468.34 is: 170,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,152.54 : 303,228.81 = 113,468.34 : x
  2. Step 2: Convert to fraction form
    202,152.54/303,228.81 = 113,468.34/x
  3. Step 3: Cross multiply
    202,152.54x = 303,228.81 × 113,468.34
  4. Step 4: Simplify right side
    202,152.54x = 34,406,869,710.88
  5. Step 5: Solve for x
    x = 34,406,869,710.88/202,152.54
  6. Step 6: Final answer
    x = 170,202.51

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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.