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Finding the Fourth Proportional to 99,214.78, 136,786.11 and 71,596.27

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Solution

The fourth proportional to 99,214.78, 136,786.11 and 71,596.27 is: 98,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,214.78 : 136,786.11 = 71,596.27 : x
  2. Step 2: Convert to fraction form
    99,214.78/136,786.11 = 71,596.27/x
  3. Step 3: Cross multiply
    99,214.78x = 136,786.11 × 71,596.27
  4. Step 4: Simplify right side
    99,214.78x = 9,793,375,263.81
  5. Step 5: Solve for x
    x = 9,793,375,263.81/99,214.78
  6. Step 6: Final answer
    x = 98,708.83

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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.