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Finding the Fourth Proportional to 226,510.29, 339,918.53 and 86,265.27

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Solution

The fourth proportional to 226,510.29, 339,918.53 and 86,265.27 is: 129,456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,510.29 : 339,918.53 = 86,265.27 : x
  2. Step 2: Convert to fraction form
    226,510.29/339,918.53 = 86,265.27/x
  3. Step 3: Cross multiply
    226,510.29x = 339,918.53 × 86,265.27
  4. Step 4: Simplify right side
    226,510.29x = 29,323,163,337.13
  5. Step 5: Solve for x
    x = 29,323,163,337.13/226,510.29
  6. Step 6: Final answer
    x = 129,456.21

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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.