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Finding the Fourth Proportional to 138,082.88, 207,058.87 and 48,094.21

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Solution

The fourth proportional to 138,082.88, 207,058.87 and 48,094.21 is: 72,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,082.88 : 207,058.87 = 48,094.21 : x
  2. Step 2: Convert to fraction form
    138,082.88/207,058.87 = 48,094.21/x
  3. Step 3: Cross multiply
    138,082.88x = 207,058.87 × 48,094.21
  4. Step 4: Simplify right side
    138,082.88x = 9,958,331,930.38
  5. Step 5: Solve for x
    x = 9,958,331,930.38/138,082.88
  6. Step 6: Final answer
    x = 72,118.51

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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.