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Finding the Fourth Proportional to 251,431.74, 377,194.01 and 82,963.71

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Solution

The fourth proportional to 251,431.74, 377,194.01 and 82,963.71 is: 124,460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,431.74 : 377,194.01 = 82,963.71 : x
  2. Step 2: Convert to fraction form
    251,431.74/377,194.01 = 82,963.71/x
  3. Step 3: Cross multiply
    251,431.74x = 377,194.01 × 82,963.71
  4. Step 4: Simplify right side
    251,431.74x = 31,293,414,459.38
  5. Step 5: Solve for x
    x = 31,293,414,459.38/251,431.74
  6. Step 6: Final answer
    x = 124,460.88

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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.