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Finding the Fourth Proportional to 276,009.80, 413,723.10 and 157,425.80

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Solution

The fourth proportional to 276,009.80, 413,723.10 and 157,425.80 is: 235,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,009.80 : 413,723.10 = 157,425.80 : x
  2. Step 2: Convert to fraction form
    276,009.80/413,723.10 = 157,425.80/x
  3. Step 3: Cross multiply
    276,009.80x = 413,723.10 × 157,425.80
  4. Step 4: Simplify right side
    276,009.80x = 65,130,689,995.98
  5. Step 5: Solve for x
    x = 65,130,689,995.98/276,009.80
  6. Step 6: Final answer
    x = 235,972.38

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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.