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Finding the Fourth Proportional to 99,409.97, 148,872.55 and 75,691.95

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Solution

The fourth proportional to 99,409.97, 148,872.55 and 75,691.95 is: 113,353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,409.97 : 148,872.55 = 75,691.95 : x
  2. Step 2: Convert to fraction form
    99,409.97/148,872.55 = 75,691.95/x
  3. Step 3: Cross multiply
    99,409.97x = 148,872.55 × 75,691.95
  4. Step 4: Simplify right side
    99,409.97x = 11,268,453,610.97
  5. Step 5: Solve for x
    x = 11,268,453,610.97/99,409.97
  6. Step 6: Final answer
    x = 113,353.35

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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.