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Finding the Fourth Proportional to 132,480, 182,825.28 and 72,864

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Solution

The fourth proportional to 132,480, 182,825.28 and 72,864 is: 100,553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,480 : 182,825.28 = 72,864 : x
  2. Step 2: Convert to fraction form
    132,480/182,825.28 = 72,864/x
  3. Step 3: Cross multiply
    132,480x = 182,825.28 × 72,864
  4. Step 4: Simplify right side
    132,480x = 13,321,381,201.92
  5. Step 5: Solve for x
    x = 13,321,381,201.92/132,480
  6. Step 6: Final answer
    x = 100,553.90

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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.