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Finding the Fourth Proportional to 193,273.20, 289,909.80 and 180,151.20

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Solution

The fourth proportional to 193,273.20, 289,909.80 and 180,151.20 is: 270,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,273.20 : 289,909.80 = 180,151.20 : x
  2. Step 2: Convert to fraction form
    193,273.20/289,909.80 = 180,151.20/x
  3. Step 3: Cross multiply
    193,273.20x = 289,909.80 × 180,151.20
  4. Step 4: Simplify right side
    193,273.20x = 52,227,598,361.76
  5. Step 5: Solve for x
    x = 52,227,598,361.76/193,273.20
  6. Step 6: Final answer
    x = 270,226.80

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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.