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Finding the Fourth Proportional to 132,597, 182,983.86 and 72,981

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Solution

The fourth proportional to 132,597, 182,983.86 and 72,981 is: 100,713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,597 : 182,983.86 = 72,981 : x
  2. Step 2: Convert to fraction form
    132,597/182,983.86 = 72,981/x
  3. Step 3: Cross multiply
    132,597x = 182,983.86 × 72,981
  4. Step 4: Simplify right side
    132,597x = 13,354,345,086.66
  5. Step 5: Solve for x
    x = 13,354,345,086.66/132,597
  6. Step 6: Final answer
    x = 100,713.78

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