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Finding the Fourth Proportional to 129,616.20, 194,400.30 and 36,102.60

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Solution

The fourth proportional to 129,616.20, 194,400.30 and 36,102.60 is: 54,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,616.20 : 194,400.30 = 36,102.60 : x
  2. Step 2: Convert to fraction form
    129,616.20/194,400.30 = 36,102.60/x
  3. Step 3: Cross multiply
    129,616.20x = 194,400.30 × 36,102.60
  4. Step 4: Simplify right side
    129,616.20x = 7,018,356,270.78
  5. Step 5: Solve for x
    x = 7,018,356,270.78/129,616.20
  6. Step 6: Final answer
    x = 54,147.22

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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.