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Finding the Fourth Proportional to 99,542.59, 137,367.70 and 57,107.77

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Solution

The fourth proportional to 99,542.59, 137,367.70 and 57,107.77 is: 78,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,542.59 : 137,367.70 = 57,107.77 : x
  2. Step 2: Convert to fraction form
    99,542.59/137,367.70 = 57,107.77/x
  3. Step 3: Cross multiply
    99,542.59x = 137,367.70 × 57,107.77
  4. Step 4: Simplify right side
    99,542.59x = 7,844,763,017.03
  5. Step 5: Solve for x
    x = 7,844,763,017.03/99,542.59
  6. Step 6: Final answer
    x = 78,808.11

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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.