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Finding the Fourth Proportional to 276,581.80, 414,581.10 and 157,997.80

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Solution

The fourth proportional to 276,581.80, 414,581.10 and 157,997.80 is: 236,830.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,581.80 : 414,581.10 = 157,997.80 : x
  2. Step 2: Convert to fraction form
    276,581.80/414,581.10 = 157,997.80/x
  3. Step 3: Cross multiply
    276,581.80x = 414,581.10 × 157,997.80
  4. Step 4: Simplify right side
    276,581.80x = 65,502,901,721.58
  5. Step 5: Solve for x
    x = 65,502,901,721.58/276,581.80
  6. Step 6: Final answer
    x = 236,830.12

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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.