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Finding the Fourth Proportional to 261,092.40, 391,638.60 and 83,605.20

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Solution

The fourth proportional to 261,092.40, 391,638.60 and 83,605.20 is: 125,407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,092.40 : 391,638.60 = 83,605.20 : x
  2. Step 2: Convert to fraction form
    261,092.40/391,638.60 = 83,605.20/x
  3. Step 3: Cross multiply
    261,092.40x = 391,638.60 × 83,605.20
  4. Step 4: Simplify right side
    261,092.40x = 32,743,023,480.72
  5. Step 5: Solve for x
    x = 32,743,023,480.72/261,092.40
  6. Step 6: Final answer
    x = 125,407.80

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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.