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Finding the Fourth Proportional to 99,760.87, 137,693.64 and 57,344.05

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Solution

The fourth proportional to 99,760.87, 137,693.64 and 57,344.05 is: 79,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,760.87 : 137,693.64 = 57,344.05 : x
  2. Step 2: Convert to fraction form
    99,760.87/137,693.64 = 57,344.05/x
  3. Step 3: Cross multiply
    99,760.87x = 137,693.64 × 57,344.05
  4. Step 4: Simplify right side
    99,760.87x = 7,895,910,976.84
  5. Step 5: Solve for x
    x = 7,895,910,976.84/99,760.87
  6. Step 6: Final answer
    x = 79,148.38

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Why These Related Problems?

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