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Finding the Fourth Proportional to 276,122.80, 413,892.60 and 157,538.80

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Solution

The fourth proportional to 276,122.80, 413,892.60 and 157,538.80 is: 236,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,122.80 : 413,892.60 = 157,538.80 : x
  2. Step 2: Convert to fraction form
    276,122.80/413,892.60 = 157,538.80/x
  3. Step 3: Cross multiply
    276,122.80x = 413,892.60 × 157,538.80
  4. Step 4: Simplify right side
    276,122.80x = 65,204,143,532.88
  5. Step 5: Solve for x
    x = 65,204,143,532.88/276,122.80
  6. Step 6: Final answer
    x = 236,141.83

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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.