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Finding the Fourth Proportional to 283,549.29, 425,323.94 and 83,854.13

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Solution

The fourth proportional to 283,549.29, 425,323.94 and 83,854.13 is: 125,781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,549.29 : 425,323.94 = 83,854.13 : x
  2. Step 2: Convert to fraction form
    283,549.29/425,323.94 = 83,854.13/x
  3. Step 3: Cross multiply
    283,549.29x = 425,323.94 × 83,854.13
  4. Step 4: Simplify right side
    283,549.29x = 35,665,166,410.98
  5. Step 5: Solve for x
    x = 35,665,166,410.98/283,549.29
  6. Step 6: Final answer
    x = 125,781.19

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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.