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Finding the Fourth Proportional to 198,375.68, 273,757.56 and 107,730.92

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Solution

The fourth proportional to 198,375.68, 273,757.56 and 107,730.92 is: 148,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,375.68 : 273,757.56 = 107,730.92 : x
  2. Step 2: Convert to fraction form
    198,375.68/273,757.56 = 107,730.92/x
  3. Step 3: Cross multiply
    198,375.68x = 273,757.56 × 107,730.92
  4. Step 4: Simplify right side
    198,375.68x = 29,492,153,795.76
  5. Step 5: Solve for x
    x = 29,492,153,795.76/198,375.68
  6. Step 6: Final answer
    x = 148,668.19

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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.