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Finding the Fourth Proportional to 99,593.88, 149,390.28 and 57,446.64

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Solution

The fourth proportional to 99,593.88, 149,390.28 and 57,446.64 is: 86,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,593.88 : 149,390.28 = 57,446.64 : x
  2. Step 2: Convert to fraction form
    99,593.88/149,390.28 = 57,446.64/x
  3. Step 3: Cross multiply
    99,593.88x = 149,390.28 × 57,446.64
  4. Step 4: Simplify right side
    99,593.88x = 8,581,969,634.66
  5. Step 5: Solve for x
    x = 8,581,969,634.66/99,593.88
  6. Step 6: Final answer
    x = 86,169.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.