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Finding the Fourth Proportional to 238,497.44, 329,087.76 and 137,876

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Solution

The fourth proportional to 238,497.44, 329,087.76 and 137,876 is: 190,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,497.44 : 329,087.76 = 137,876 : x
  2. Step 2: Convert to fraction form
    238,497.44/329,087.76 = 137,876/x
  3. Step 3: Cross multiply
    238,497.44x = 329,087.76 × 137,876
  4. Step 4: Simplify right side
    238,497.44x = 45,373,303,997.76
  5. Step 5: Solve for x
    x = 45,373,303,997.76/238,497.44
  6. Step 6: Final answer
    x = 190,246.50

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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.