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Finding the Fourth Proportional to 129,106.40, 193,728.40 and 50,223.20

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Solution

The fourth proportional to 129,106.40, 193,728.40 and 50,223.20 is: 75,361.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,106.40 : 193,728.40 = 50,223.20 : x
  2. Step 2: Convert to fraction form
    129,106.40/193,728.40 = 50,223.20/x
  3. Step 3: Cross multiply
    129,106.40x = 193,728.40 × 50,223.20
  4. Step 4: Simplify right side
    129,106.40x = 9,729,660,178.88
  5. Step 5: Solve for x
    x = 9,729,660,178.88/129,106.40
  6. Step 6: Final answer
    x = 75,361.56

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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.