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Finding the Fourth Proportional to 269,661, 372,132.24 and 150,429

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Solution

The fourth proportional to 269,661, 372,132.24 and 150,429 is: 207,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,661 : 372,132.24 = 150,429 : x
  2. Step 2: Convert to fraction form
    269,661/372,132.24 = 150,429/x
  3. Step 3: Cross multiply
    269,661x = 372,132.24 × 150,429
  4. Step 4: Simplify right side
    269,661x = 55,979,480,730.96
  5. Step 5: Solve for x
    x = 55,979,480,730.96/269,661
  6. Step 6: Final answer
    x = 207,592.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.