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Finding the Fourth Proportional to 159,231.42, 238,847.13 and 40,902.87

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Solution

The fourth proportional to 159,231.42, 238,847.13 and 40,902.87 is: 61,354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,231.42 : 238,847.13 = 40,902.87 : x
  2. Step 2: Convert to fraction form
    159,231.42/238,847.13 = 40,902.87/x
  3. Step 3: Cross multiply
    159,231.42x = 238,847.13 × 40,902.87
  4. Step 4: Simplify right side
    159,231.42x = 9,769,534,003.94
  5. Step 5: Solve for x
    x = 9,769,534,003.94/159,231.42
  6. Step 6: Final answer
    x = 61,354.31

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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.