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Finding the Fourth Proportional to 242,219.97, 363,343.32 and 92,472.44

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Solution

The fourth proportional to 242,219.97, 363,343.32 and 92,472.44 is: 138,713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,219.97 : 363,343.32 = 92,472.44 : x
  2. Step 2: Convert to fraction form
    242,219.97/363,343.32 = 92,472.44/x
  3. Step 3: Cross multiply
    242,219.97x = 363,343.32 × 92,472.44
  4. Step 4: Simplify right side
    242,219.97x = 33,599,241,541.38
  5. Step 5: Solve for x
    x = 33,599,241,541.38/242,219.97
  6. Step 6: Final answer
    x = 138,713.75

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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.