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Finding the Fourth Proportional to 84,149.66, 126,315.48 and 74,849.24

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Solution

The fourth proportional to 84,149.66, 126,315.48 and 74,849.24 is: 112,354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,149.66 : 126,315.48 = 74,849.24 : x
  2. Step 2: Convert to fraction form
    84,149.66/126,315.48 = 74,849.24/x
  3. Step 3: Cross multiply
    84,149.66x = 126,315.48 × 74,849.24
  4. Step 4: Simplify right side
    84,149.66x = 9,454,617,678.24
  5. Step 5: Solve for x
    x = 9,454,617,678.24/84,149.66
  6. Step 6: Final answer
    x = 112,354.79

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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.