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Finding the Fourth Proportional to 83,728.20, 125,592.30 and 77,823.30

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Solution

The fourth proportional to 83,728.20, 125,592.30 and 77,823.30 is: 116,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,728.20 : 125,592.30 = 77,823.30 : x
  2. Step 2: Convert to fraction form
    83,728.20/125,592.30 = 77,823.30/x
  3. Step 3: Cross multiply
    83,728.20x = 125,592.30 × 77,823.30
  4. Step 4: Simplify right side
    83,728.20x = 9,774,007,240.59
  5. Step 5: Solve for x
    x = 9,774,007,240.59/83,728.20
  6. Step 6: Final answer
    x = 116,734.95

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1.5x scale

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.