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Finding the Fourth Proportional to 194,902.56, 292,329.54 and 54,672.12

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Solution

The fourth proportional to 194,902.56, 292,329.54 and 54,672.12 is: 82,001.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,902.56 : 292,329.54 = 54,672.12 : x
  2. Step 2: Convert to fraction form
    194,902.56/292,329.54 = 54,672.12/x
  3. Step 3: Cross multiply
    194,902.56x = 292,329.54 × 54,672.12
  4. Step 4: Simplify right side
    194,902.56x = 15,982,275,690.42
  5. Step 5: Solve for x
    x = 15,982,275,690.42/194,902.56
  6. Step 6: Final answer
    x = 82,001.36

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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.