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Finding the Fourth Proportional to 104,446.24, 156,723.36 and 51,854.56

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Solution

The fourth proportional to 104,446.24, 156,723.36 and 51,854.56 is: 77,808.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,446.24 : 156,723.36 = 51,854.56 : x
  2. Step 2: Convert to fraction form
    104,446.24/156,723.36 = 51,854.56/x
  3. Step 3: Cross multiply
    104,446.24x = 156,723.36 × 51,854.56
  4. Step 4: Simplify right side
    104,446.24x = 8,126,820,874.52
  5. Step 5: Solve for x
    x = 8,126,820,874.52/104,446.24
  6. Step 6: Final answer
    x = 77,808.65

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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.