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Finding the Fourth Proportional to 108,422.80, 162,634.20 and 55,934.80

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Solution

The fourth proportional to 108,422.80, 162,634.20 and 55,934.80 is: 83,902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,422.80 : 162,634.20 = 55,934.80 : x
  2. Step 2: Convert to fraction form
    108,422.80/162,634.20 = 55,934.80/x
  3. Step 3: Cross multiply
    108,422.80x = 162,634.20 × 55,934.80
  4. Step 4: Simplify right side
    108,422.80x = 9,096,911,450.16
  5. Step 5: Solve for x
    x = 9,096,911,450.16/108,422.80
  6. Step 6: Final answer
    x = 83,902.20

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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.