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Finding the Fourth Proportional to 177,884.60, 266,170.80 and 162,138.20

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Solution

The fourth proportional to 177,884.60, 266,170.80 and 162,138.20 is: 242,609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,884.60 : 266,170.80 = 162,138.20 : x
  2. Step 2: Convert to fraction form
    177,884.60/266,170.80 = 162,138.20/x
  3. Step 3: Cross multiply
    177,884.60x = 266,170.80 × 162,138.20
  4. Step 4: Simplify right side
    177,884.60x = 43,156,454,404.56
  5. Step 5: Solve for x
    x = 43,156,454,404.56/177,884.60
  6. Step 6: Final answer
    x = 242,609.28

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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.