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Finding the Fourth Proportional to 257,131.59, 385,342.68 and 193,882.20

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Solution

The fourth proportional to 257,131.59, 385,342.68 and 193,882.20 is: 290,555.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,131.59 : 385,342.68 = 193,882.20 : x
  2. Step 2: Convert to fraction form
    257,131.59/385,342.68 = 193,882.20/x
  3. Step 3: Cross multiply
    257,131.59x = 385,342.68 × 193,882.20
  4. Step 4: Simplify right side
    257,131.59x = 74,711,086,912.99
  5. Step 5: Solve for x
    x = 74,711,086,912.99/257,131.59
  6. Step 6: Final answer
    x = 290,555.85

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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.