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Finding the Fourth Proportional to 83,909.60, 125,864.40 and 68,549.60

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Solution

The fourth proportional to 83,909.60, 125,864.40 and 68,549.60 is: 102,824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,909.60 : 125,864.40 = 68,549.60 : x
  2. Step 2: Convert to fraction form
    83,909.60/125,864.40 = 68,549.60/x
  3. Step 3: Cross multiply
    83,909.60x = 125,864.40 × 68,549.60
  4. Step 4: Simplify right side
    83,909.60x = 8,627,954,274.24
  5. Step 5: Solve for x
    x = 8,627,954,274.24/83,909.60
  6. Step 6: Final answer
    x = 102,824.40

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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.