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Finding the Fourth Proportional to 99,414.46, 148,879.30 and 75,696.46

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Solution

The fourth proportional to 99,414.46, 148,879.30 and 75,696.46 is: 113,360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,414.46 : 148,879.30 = 75,696.46 : x
  2. Step 2: Convert to fraction form
    99,414.46/148,879.30 = 75,696.46/x
  3. Step 3: Cross multiply
    99,414.46x = 148,879.30 × 75,696.46
  4. Step 4: Simplify right side
    99,414.46x = 11,269,635,977.28
  5. Step 5: Solve for x
    x = 11,269,635,977.28/99,414.46
  6. Step 6: Final answer
    x = 113,360.13

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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.