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Finding the Fourth Proportional to 120,169.20, 179,908.20 and 116,713.20

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Solution

The fourth proportional to 120,169.20, 179,908.20 and 116,713.20 is: 174,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,169.20 : 179,908.20 = 116,713.20 : x
  2. Step 2: Convert to fraction form
    120,169.20/179,908.20 = 116,713.20/x
  3. Step 3: Cross multiply
    120,169.20x = 179,908.20 × 116,713.20
  4. Step 4: Simplify right side
    120,169.20x = 20,997,661,728.24
  5. Step 5: Solve for x
    x = 20,997,661,728.24/120,169.20
  6. Step 6: Final answer
    x = 174,734.14

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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.