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Finding the Fourth Proportional to 138,825.46, 208,201.74 and 50,062.42

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Solution

The fourth proportional to 138,825.46, 208,201.74 and 50,062.42 is: 75,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,825.46 : 208,201.74 = 50,062.42 : x
  2. Step 2: Convert to fraction form
    138,825.46/208,201.74 = 50,062.42/x
  3. Step 3: Cross multiply
    138,825.46x = 208,201.74 × 50,062.42
  4. Step 4: Simplify right side
    138,825.46x = 10,423,082,952.61
  5. Step 5: Solve for x
    x = 10,423,082,952.61/138,825.46
  6. Step 6: Final answer
    x = 75,080.49

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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.