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Finding the Fourth Proportional to 123,648.50, 185,472.46 and 81,221.74

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Solution

The fourth proportional to 123,648.50, 185,472.46 and 81,221.74 is: 121,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,648.50 : 185,472.46 = 81,221.74 : x
  2. Step 2: Convert to fraction form
    123,648.50/185,472.46 = 81,221.74/x
  3. Step 3: Cross multiply
    123,648.50x = 185,472.46 × 81,221.74
  4. Step 4: Simplify right side
    123,648.50x = 15,064,395,675.34
  5. Step 5: Solve for x
    x = 15,064,395,675.34/123,648.50
  6. Step 6: Final answer
    x = 121,832.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.