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Finding the Fourth Proportional to 273,123.90, 409,685.86 and 86,149.98

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Solution

The fourth proportional to 273,123.90, 409,685.86 and 86,149.98 is: 129,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,123.90 : 409,685.86 = 86,149.98 : x
  2. Step 2: Convert to fraction form
    273,123.90/409,685.86 = 86,149.98/x
  3. Step 3: Cross multiply
    273,123.90x = 409,685.86 × 86,149.98
  4. Step 4: Simplify right side
    273,123.90x = 35,294,428,645.28
  5. Step 5: Solve for x
    x = 35,294,428,645.28/273,123.90
  6. Step 6: Final answer
    x = 129,224.97

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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.