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Finding the Fourth Proportional to 124,471.43, 171,744.82 and 72,778.58

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Solution

The fourth proportional to 124,471.43, 171,744.82 and 72,778.58 is: 100,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,471.43 : 171,744.82 = 72,778.58 : x
  2. Step 2: Convert to fraction form
    124,471.43/171,744.82 = 72,778.58/x
  3. Step 3: Cross multiply
    124,471.43x = 171,744.82 × 72,778.58
  4. Step 4: Simplify right side
    124,471.43x = 12,499,344,369.37
  5. Step 5: Solve for x
    x = 12,499,344,369.37/124,471.43
  6. Step 6: Final answer
    x = 100,419.38

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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.