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Finding the Fourth Proportional to 251,713.44, 347,366.88 and 138,537

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Solution

The fourth proportional to 251,713.44, 347,366.88 and 138,537 is: 191,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,713.44 : 347,366.88 = 138,537 : x
  2. Step 2: Convert to fraction form
    251,713.44/347,366.88 = 138,537/x
  3. Step 3: Cross multiply
    251,713.44x = 347,366.88 × 138,537
  4. Step 4: Simplify right side
    251,713.44x = 48,123,165,454.56
  5. Step 5: Solve for x
    x = 48,123,165,454.56/251,713.44
  6. Step 6: Final answer
    x = 191,182.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.