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Finding the Fourth Proportional to 361,706.14, 542,559.43 and 91,854.49

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Solution

The fourth proportional to 361,706.14, 542,559.43 and 91,854.49 is: 137,781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,706.14 : 542,559.43 = 91,854.49 : x
  2. Step 2: Convert to fraction form
    361,706.14/542,559.43 = 91,854.49/x
  3. Step 3: Cross multiply
    361,706.14x = 542,559.43 × 91,854.49
  4. Step 4: Simplify right side
    361,706.14x = 49,836,519,737.34
  5. Step 5: Solve for x
    x = 49,836,519,737.34/361,706.14
  6. Step 6: Final answer
    x = 137,781.79

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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.