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Finding the Fourth Proportional to 180,169.20, 270,253.80 and 177,544.80

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Solution

The fourth proportional to 180,169.20, 270,253.80 and 177,544.80 is: 266,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,169.20 : 270,253.80 = 177,544.80 : x
  2. Step 2: Convert to fraction form
    180,169.20/270,253.80 = 177,544.80/x
  3. Step 3: Cross multiply
    180,169.20x = 270,253.80 × 177,544.80
  4. Step 4: Simplify right side
    180,169.20x = 47,982,156,870.24
  5. Step 5: Solve for x
    x = 47,982,156,870.24/180,169.20
  6. Step 6: Final answer
    x = 266,317.20

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1.5x scale

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.