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Finding the Fourth Proportional to 99,793.34, 137,718.87 and 54,474.38

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Solution

The fourth proportional to 99,793.34, 137,718.87 and 54,474.38 is: 75,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,793.34 : 137,718.87 = 54,474.38 : x
  2. Step 2: Convert to fraction form
    99,793.34/137,718.87 = 54,474.38/x
  3. Step 3: Cross multiply
    99,793.34x = 137,718.87 × 54,474.38
  4. Step 4: Simplify right side
    99,793.34x = 7,502,150,057.55
  5. Step 5: Solve for x
    x = 7,502,150,057.55/99,793.34
  6. Step 6: Final answer
    x = 75,176.86

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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.