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Finding the Fourth Proportional to 251,680.82, 347,319.58 and 138,503.57

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Solution

The fourth proportional to 251,680.82, 347,319.58 and 138,503.57 is: 191,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,680.82 : 347,319.58 = 138,503.57 : x
  2. Step 2: Convert to fraction form
    251,680.82/347,319.58 = 138,503.57/x
  3. Step 3: Cross multiply
    251,680.82x = 347,319.58 × 138,503.57
  4. Step 4: Simplify right side
    251,680.82x = 48,105,001,760.90
  5. Step 5: Solve for x
    x = 48,105,001,760.90/251,680.82
  6. Step 6: Final answer
    x = 191,134.95

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Why These Related Problems?

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