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Finding the Fourth Proportional to 238,503.44, 329,096.04 and 137,882

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Solution

The fourth proportional to 238,503.44, 329,096.04 and 137,882 is: 190,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,503.44 : 329,096.04 = 137,882 : x
  2. Step 2: Convert to fraction form
    238,503.44/329,096.04 = 137,882/x
  3. Step 3: Cross multiply
    238,503.44x = 329,096.04 × 137,882
  4. Step 4: Simplify right side
    238,503.44x = 45,376,420,187.28
  5. Step 5: Solve for x
    x = 45,376,420,187.28/238,503.44
  6. Step 6: Final answer
    x = 190,254.78

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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.