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Finding the Fourth Proportional to 95,198.11, 142,801.11 and 78,527.10

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Solution

The fourth proportional to 95,198.11, 142,801.11 and 78,527.10 is: 117,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,198.11 : 142,801.11 = 78,527.10 : x
  2. Step 2: Convert to fraction form
    95,198.11/142,801.11 = 78,527.10/x
  3. Step 3: Cross multiply
    95,198.11x = 142,801.11 × 78,527.10
  4. Step 4: Simplify right side
    95,198.11x = 11,213,756,706.99
  5. Step 5: Solve for x
    x = 11,213,756,706.99/95,198.11
  6. Step 6: Final answer
    x = 117,793.90

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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.