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Finding the Fourth Proportional to 99,839.70, 137,784.41 and 54,521.90

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Solution

The fourth proportional to 99,839.70, 137,784.41 and 54,521.90 is: 75,243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,839.70 : 137,784.41 = 54,521.90 : x
  2. Step 2: Convert to fraction form
    99,839.70/137,784.41 = 54,521.90/x
  3. Step 3: Cross multiply
    99,839.70x = 137,784.41 × 54,521.90
  4. Step 4: Simplify right side
    99,839.70x = 7,512,267,823.58
  5. Step 5: Solve for x
    x = 7,512,267,823.58/99,839.70
  6. Step 6: Final answer
    x = 75,243.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.