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Finding the Fourth Proportional to 283,761.29, 425,666.48 and 81,358.29

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Solution

The fourth proportional to 283,761.29, 425,666.48 and 81,358.29 is: 122,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,761.29 : 425,666.48 = 81,358.29 : x
  2. Step 2: Convert to fraction form
    283,761.29/425,666.48 = 81,358.29/x
  3. Step 3: Cross multiply
    283,761.29x = 425,666.48 × 81,358.29
  4. Step 4: Simplify right side
    283,761.29x = 34,631,496,516.33
  5. Step 5: Solve for x
    x = 34,631,496,516.33/283,761.29
  6. Step 6: Final answer
    x = 122,044.47

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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.