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Finding the Fourth Proportional to 261,987.97, 393,029.47 and 149,794.69

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Solution

The fourth proportional to 261,987.97, 393,029.47 and 149,794.69 is: 224,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,987.97 : 393,029.47 = 149,794.69 : x
  2. Step 2: Convert to fraction form
    261,987.97/393,029.47 = 149,794.69/x
  3. Step 3: Cross multiply
    261,987.97x = 393,029.47 × 149,794.69
  4. Step 4: Simplify right side
    261,987.97x = 58,873,725,279.88
  5. Step 5: Solve for x
    x = 58,873,725,279.88/261,987.97
  6. Step 6: Final answer
    x = 224,719.20

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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.