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Finding the Fourth Proportional to 78,143.50, 117,358.25 and 71,555.84

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Solution

The fourth proportional to 78,143.50, 117,358.25 and 71,555.84 is: 107,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,143.50 : 117,358.25 = 71,555.84 : x
  2. Step 2: Convert to fraction form
    78,143.50/117,358.25 = 71,555.84/x
  3. Step 3: Cross multiply
    78,143.50x = 117,358.25 × 71,555.84
  4. Step 4: Simplify right side
    78,143.50x = 8,397,667,215.11
  5. Step 5: Solve for x
    x = 8,397,667,215.11/78,143.50
  6. Step 6: Final answer
    x = 107,464.70

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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.