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Finding the Fourth Proportional to 129,715.88, 194,648.85 and 54,831.18

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Solution

The fourth proportional to 129,715.88, 194,648.85 and 54,831.18 is: 82,278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,715.88 : 194,648.85 = 54,831.18 : x
  2. Step 2: Convert to fraction form
    129,715.88/194,648.85 = 54,831.18/x
  3. Step 3: Cross multiply
    129,715.88x = 194,648.85 × 54,831.18
  4. Step 4: Simplify right side
    129,715.88x = 10,672,826,131.14
  5. Step 5: Solve for x
    x = 10,672,826,131.14/129,715.88
  6. Step 6: Final answer
    x = 82,278.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.