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Finding the Fourth Proportional to 92,217.20, 138,325.80 and 83,469.20

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Solution

The fourth proportional to 92,217.20, 138,325.80 and 83,469.20 is: 125,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,217.20 : 138,325.80 = 83,469.20 : x
  2. Step 2: Convert to fraction form
    92,217.20/138,325.80 = 83,469.20/x
  3. Step 3: Cross multiply
    92,217.20x = 138,325.80 × 83,469.20
  4. Step 4: Simplify right side
    92,217.20x = 11,545,943,865.36
  5. Step 5: Solve for x
    x = 11,545,943,865.36/92,217.20
  6. Step 6: Final answer
    x = 125,203.80

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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.