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Finding the Fourth Proportional to 230,862.68, 318,589.22 and 128,882.24

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Solution

The fourth proportional to 230,862.68, 318,589.22 and 128,882.24 is: 177,856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,862.68 : 318,589.22 = 128,882.24 : x
  2. Step 2: Convert to fraction form
    230,862.68/318,589.22 = 128,882.24/x
  3. Step 3: Cross multiply
    230,862.68x = 318,589.22 × 128,882.24
  4. Step 4: Simplify right side
    230,862.68x = 41,060,492,313.45
  5. Step 5: Solve for x
    x = 41,060,492,313.45/230,862.68
  6. Step 6: Final answer
    x = 177,856.78

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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.