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Finding the Fourth Proportional to 84,147.66, 126,312.48 and 74,847.24

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Solution

The fourth proportional to 84,147.66, 126,312.48 and 74,847.24 is: 112,351.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,147.66 : 126,312.48 = 74,847.24 : x
  2. Step 2: Convert to fraction form
    84,147.66/126,312.48 = 74,847.24/x
  3. Step 3: Cross multiply
    84,147.66x = 126,312.48 × 74,847.24
  4. Step 4: Simplify right side
    84,147.66x = 9,454,140,505.56
  5. Step 5: Solve for x
    x = 9,454,140,505.56/84,147.66
  6. Step 6: Final answer
    x = 112,351.79

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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.