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Finding the Fourth Proportional to 99,833.20, 137,769.12 and 54,511.16

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Solution

The fourth proportional to 99,833.20, 137,769.12 and 54,511.16 is: 75,225.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,833.20 : 137,769.12 = 54,511.16 : x
  2. Step 2: Convert to fraction form
    99,833.20/137,769.12 = 54,511.16/x
  3. Step 3: Cross multiply
    99,833.20x = 137,769.12 × 54,511.16
  4. Step 4: Simplify right side
    99,833.20x = 7,509,953,854.53
  5. Step 5: Solve for x
    x = 7,509,953,854.53/99,833.20
  6. Step 6: Final answer
    x = 75,225.02

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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.