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Finding the Fourth Proportional to 104,523.92, 144,246.14 and 56,780.50

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Solution

The fourth proportional to 104,523.92, 144,246.14 and 56,780.50 is: 78,358.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,523.92 : 144,246.14 = 56,780.50 : x
  2. Step 2: Convert to fraction form
    104,523.92/144,246.14 = 56,780.50/x
  3. Step 3: Cross multiply
    104,523.92x = 144,246.14 × 56,780.50
  4. Step 4: Simplify right side
    104,523.92x = 8,190,367,952.27
  5. Step 5: Solve for x
    x = 8,190,367,952.27/104,523.92
  6. Step 6: Final answer
    x = 78,358.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.