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Finding the Fourth Proportional to 231,742, 319,803.96 and 125,758

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Solution

The fourth proportional to 231,742, 319,803.96 and 125,758 is: 173,546.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,742 : 319,803.96 = 125,758 : x
  2. Step 2: Convert to fraction form
    231,742/319,803.96 = 125,758/x
  3. Step 3: Cross multiply
    231,742x = 319,803.96 × 125,758
  4. Step 4: Simplify right side
    231,742x = 40,217,906,401.68
  5. Step 5: Solve for x
    x = 40,217,906,401.68/231,742
  6. Step 6: Final answer
    x = 173,546.04

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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.