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Finding the Fourth Proportional to 138,876.17, 208,314.54 and 50,192.30

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Solution

The fourth proportional to 138,876.17, 208,314.54 and 50,192.30 is: 75,288.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,876.17 : 208,314.54 = 50,192.30 : x
  2. Step 2: Convert to fraction form
    138,876.17/208,314.54 = 50,192.30/x
  3. Step 3: Cross multiply
    138,876.17x = 208,314.54 × 50,192.30
  4. Step 4: Simplify right side
    138,876.17x = 10,455,785,886.04
  5. Step 5: Solve for x
    x = 10,455,785,886.04/138,876.17
  6. Step 6: Final answer
    x = 75,288.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.