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Finding the Fourth Proportional to 92,220.20, 138,220.95 and 82,816.10

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Solution

The fourth proportional to 92,220.20, 138,220.95 and 82,816.10 is: 124,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,220.20 : 138,220.95 = 82,816.10 : x
  2. Step 2: Convert to fraction form
    92,220.20/138,220.95 = 82,816.10/x
  3. Step 3: Cross multiply
    92,220.20x = 138,220.95 × 82,816.10
  4. Step 4: Simplify right side
    92,220.20x = 11,446,920,017.30
  5. Step 5: Solve for x
    x = 11,446,920,017.30/92,220.20
  6. Step 6: Final answer
    x = 124,125.95

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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.