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Finding the Fourth Proportional to 275,031.32, 412,227.70 and 104,144.37

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Solution

The fourth proportional to 275,031.32, 412,227.70 and 104,144.37 is: 156,095.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,031.32 : 412,227.70 = 104,144.37 : x
  2. Step 2: Convert to fraction form
    275,031.32/412,227.70 = 104,144.37/x
  3. Step 3: Cross multiply
    275,031.32x = 412,227.70 × 104,144.37
  4. Step 4: Simplify right side
    275,031.32x = 42,931,192,306.83
  5. Step 5: Solve for x
    x = 42,931,192,306.83/275,031.32
  6. Step 6: Final answer
    x = 156,095.65

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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.