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Finding the Fourth Proportional to 83,722.76, 125,042.23 and 75,809.46

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Solution

The fourth proportional to 83,722.76, 125,042.23 and 75,809.46 is: 113,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,722.76 : 125,042.23 = 75,809.46 : x
  2. Step 2: Convert to fraction form
    83,722.76/125,042.23 = 75,809.46/x
  3. Step 3: Cross multiply
    83,722.76x = 125,042.23 × 75,809.46
  4. Step 4: Simplify right side
    83,722.76x = 9,479,384,497.17
  5. Step 5: Solve for x
    x = 9,479,384,497.17/83,722.76
  6. Step 6: Final answer
    x = 113,223.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.