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Finding the Fourth Proportional to 202,869.57, 304,332.05 and 84,513.24

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Solution

The fourth proportional to 202,869.57, 304,332.05 and 84,513.24 is: 126,781.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,869.57 : 304,332.05 = 84,513.24 : x
  2. Step 2: Convert to fraction form
    202,869.57/304,332.05 = 84,513.24/x
  3. Step 3: Cross multiply
    202,869.57x = 304,332.05 × 84,513.24
  4. Step 4: Simplify right side
    202,869.57x = 25,720,087,792.63
  5. Step 5: Solve for x
    x = 25,720,087,792.63/202,869.57
  6. Step 6: Final answer
    x = 126,781.40

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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.