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Finding the Fourth Proportional to 204,691.96, 306,663.85 and 148,392.42

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Solution

The fourth proportional to 204,691.96, 306,663.85 and 148,392.42 is: 222,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,691.96 : 306,663.85 = 148,392.42 : x
  2. Step 2: Convert to fraction form
    204,691.96/306,663.85 = 148,392.42/x
  3. Step 3: Cross multiply
    204,691.96x = 306,663.85 × 148,392.42
  4. Step 4: Simplify right side
    204,691.96x = 45,506,590,828.02
  5. Step 5: Solve for x
    x = 45,506,590,828.02/204,691.96
  6. Step 6: Final answer
    x = 222,317.43

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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.