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Finding the Fourth Proportional to 283,726.98, 391,545.96 and 156,407.16

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Solution

The fourth proportional to 283,726.98, 391,545.96 and 156,407.16 is: 215,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,726.98 : 391,545.96 = 156,407.16 : x
  2. Step 2: Convert to fraction form
    283,726.98/391,545.96 = 156,407.16/x
  3. Step 3: Cross multiply
    283,726.98x = 391,545.96 × 156,407.16
  4. Step 4: Simplify right side
    283,726.98x = 61,240,591,613.07
  5. Step 5: Solve for x
    x = 61,240,591,613.07/283,726.98
  6. Step 6: Final answer
    x = 215,843.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.