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Finding the Fourth Proportional to 138,082.92, 207,100.84 and 38,219.72

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Solution

The fourth proportional to 138,082.92, 207,100.84 and 38,219.72 is: 57,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,082.92 : 207,100.84 = 38,219.72 : x
  2. Step 2: Convert to fraction form
    138,082.92/207,100.84 = 38,219.72/x
  3. Step 3: Cross multiply
    138,082.92x = 207,100.84 × 38,219.72
  4. Step 4: Simplify right side
    138,082.92x = 7,915,334,985.51
  5. Step 5: Solve for x
    x = 7,915,334,985.51/138,082.92
  6. Step 6: Final answer
    x = 57,323.06

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Why These Related Problems?

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