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Finding the Fourth Proportional to 83,195.64, 114,863.63 and 74,227.59

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Solution

The fourth proportional to 83,195.64, 114,863.63 and 74,227.59 is: 102,481.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,195.64 : 114,863.63 = 74,227.59 : x
  2. Step 2: Convert to fraction form
    83,195.64/114,863.63 = 74,227.59/x
  3. Step 3: Cross multiply
    83,195.64x = 114,863.63 × 74,227.59
  4. Step 4: Simplify right side
    83,195.64x = 8,526,050,062.41
  5. Step 5: Solve for x
    x = 8,526,050,062.41/83,195.64
  6. Step 6: Final answer
    x = 102,481.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.