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Finding the Fourth Proportional to 261,625.80, 361,044.36 and 148,448.28

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Solution

The fourth proportional to 261,625.80, 361,044.36 and 148,448.28 is: 204,859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,625.80 : 361,044.36 = 148,448.28 : x
  2. Step 2: Convert to fraction form
    261,625.80/361,044.36 = 148,448.28/x
  3. Step 3: Cross multiply
    261,625.80x = 361,044.36 × 148,448.28
  4. Step 4: Simplify right side
    261,625.80x = 53,596,414,245.70
  5. Step 5: Solve for x
    x = 53,596,414,245.70/261,625.80
  6. Step 6: Final answer
    x = 204,859.06

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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.