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Finding the Fourth Proportional to 137,076.50, 205,617.56 and 42,306.74

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Solution

The fourth proportional to 137,076.50, 205,617.56 and 42,306.74 is: 63,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,076.50 : 205,617.56 = 42,306.74 : x
  2. Step 2: Convert to fraction form
    137,076.50/205,617.56 = 42,306.74/x
  3. Step 3: Cross multiply
    137,076.50x = 205,617.56 × 42,306.74
  4. Step 4: Simplify right side
    137,076.50x = 8,699,007,410.73
  5. Step 5: Solve for x
    x = 8,699,007,410.73/137,076.50
  6. Step 6: Final answer
    x = 63,460.97

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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.