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Finding the Fourth Proportional to 99,833.30, 137,768.90 and 54,511.16

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Solution

The fourth proportional to 99,833.30, 137,768.90 and 54,511.16 is: 75,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,833.30 : 137,768.90 = 54,511.16 : x
  2. Step 2: Convert to fraction form
    99,833.30/137,768.90 = 54,511.16/x
  3. Step 3: Cross multiply
    99,833.30x = 137,768.90 × 54,511.16
  4. Step 4: Simplify right side
    99,833.30x = 7,509,942,550.92
  5. Step 5: Solve for x
    x = 7,509,942,550.92/99,833.30
  6. Step 6: Final answer
    x = 75,224.83

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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.