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Finding the Fourth Proportional to 231,061.15, 318,832.84 and 129,074

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Solution

The fourth proportional to 231,061.15, 318,832.84 and 129,074 is: 178,104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,061.15 : 318,832.84 = 129,074 : x
  2. Step 2: Convert to fraction form
    231,061.15/318,832.84 = 129,074/x
  3. Step 3: Cross multiply
    231,061.15x = 318,832.84 × 129,074
  4. Step 4: Simplify right side
    231,061.15x = 41,153,029,344.79
  5. Step 5: Solve for x
    x = 41,153,029,344.79/231,061.15
  6. Step 6: Final answer
    x = 178,104.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.