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Finding the Fourth Proportional to 123,878.46, 171,023.20 and 81,560

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Solution

The fourth proportional to 123,878.46, 171,023.20 and 81,560 is: 112,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,878.46 : 171,023.20 = 81,560 : x
  2. Step 2: Convert to fraction form
    123,878.46/171,023.20 = 81,560/x
  3. Step 3: Cross multiply
    123,878.46x = 171,023.20 × 81,560
  4. Step 4: Simplify right side
    123,878.46x = 13,948,652,192
  5. Step 5: Solve for x
    x = 13,948,652,192/123,878.46
  6. Step 6: Final answer
    x = 112,599.50

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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.