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Finding the Fourth Proportional to 138,082.06, 207,385.67 and 85,856.50

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Solution

The fourth proportional to 138,082.06, 207,385.67 and 85,856.50 is: 128,948.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,082.06 : 207,385.67 = 85,856.50 : x
  2. Step 2: Convert to fraction form
    138,082.06/207,385.67 = 85,856.50/x
  3. Step 3: Cross multiply
    138,082.06x = 207,385.67 × 85,856.50
  4. Step 4: Simplify right side
    138,082.06x = 17,805,407,776.36
  5. Step 5: Solve for x
    x = 17,805,407,776.36/138,082.06
  6. Step 6: Final answer
    x = 128,948.02

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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.