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Finding the Fourth Proportional to 137,132.73, 205,704.50 and 42,354.47

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Solution

The fourth proportional to 137,132.73, 205,704.50 and 42,354.47 is: 63,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,132.73 : 205,704.50 = 42,354.47 : x
  2. Step 2: Convert to fraction form
    137,132.73/205,704.50 = 42,354.47/x
  3. Step 3: Cross multiply
    137,132.73x = 205,704.50 × 42,354.47
  4. Step 4: Simplify right side
    137,132.73x = 8,712,505,376.60
  5. Step 5: Solve for x
    x = 8,712,505,376.60/137,132.73
  6. Step 6: Final answer
    x = 63,533.38

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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.