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Finding the Fourth Proportional to 137,232.60, 205,864.90 and 43,747.80

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Solution

The fourth proportional to 137,232.60, 205,864.90 and 43,747.80 is: 65,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,232.60 : 205,864.90 = 43,747.80 : x
  2. Step 2: Convert to fraction form
    137,232.60/205,864.90 = 43,747.80/x
  3. Step 3: Cross multiply
    137,232.60x = 205,864.90 × 43,747.80
  4. Step 4: Simplify right side
    137,232.60x = 9,006,136,472.22
  5. Step 5: Solve for x
    x = 9,006,136,472.22/137,232.60
  6. Step 6: Final answer
    x = 65,626.80

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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.