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Finding the Fourth Proportional to 276,052.80, 414,136.80 and 157,627.20

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Solution

The fourth proportional to 276,052.80, 414,136.80 and 157,627.20 is: 236,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,052.80 : 414,136.80 = 157,627.20 : x
  2. Step 2: Convert to fraction form
    276,052.80/414,136.80 = 157,627.20/x
  3. Step 3: Cross multiply
    276,052.80x = 414,136.80 × 157,627.20
  4. Step 4: Simplify right side
    276,052.80x = 65,279,224,200.96
  5. Step 5: Solve for x
    x = 65,279,224,200.96/276,052.80
  6. Step 6: Final answer
    x = 236,473.69

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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.