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Finding the Fourth Proportional to 250,686.76, 375,843.12 and 150,823.56

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Solution

The fourth proportional to 250,686.76, 375,843.12 and 150,823.56 is: 226,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,686.76 : 375,843.12 = 150,823.56 : x
  2. Step 2: Convert to fraction form
    250,686.76/375,843.12 = 150,823.56/x
  3. Step 3: Cross multiply
    250,686.76x = 375,843.12 × 150,823.56
  4. Step 4: Simplify right side
    250,686.76x = 56,685,997,359.91
  5. Step 5: Solve for x
    x = 56,685,997,359.91/250,686.76
  6. Step 6: Final answer
    x = 226,122.82

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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.