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Finding the Fourth Proportional to 99,412.46, 148,876.30 and 75,694.46

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Solution

The fourth proportional to 99,412.46, 148,876.30 and 75,694.46 is: 113,357.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,412.46 : 148,876.30 = 75,694.46 : x
  2. Step 2: Convert to fraction form
    99,412.46/148,876.30 = 75,694.46/x
  3. Step 3: Cross multiply
    99,412.46x = 148,876.30 × 75,694.46
  4. Step 4: Simplify right side
    99,412.46x = 11,269,111,135.30
  5. Step 5: Solve for x
    x = 11,269,111,135.30/99,412.46
  6. Step 6: Final answer
    x = 113,357.13

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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.