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Finding the Fourth Proportional to 543,126.90, 814,686.30 and 164,046.90

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Solution

The fourth proportional to 543,126.90, 814,686.30 and 164,046.90 is: 246,069.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,126.90 : 814,686.30 = 164,046.90 : x
  2. Step 2: Convert to fraction form
    543,126.90/814,686.30 = 164,046.90/x
  3. Step 3: Cross multiply
    543,126.90x = 814,686.30 × 164,046.90
  4. Step 4: Simplify right side
    543,126.90x = 133,646,761,987.47
  5. Step 5: Solve for x
    x = 133,646,761,987.47/543,126.90
  6. Step 6: Final answer
    x = 246,069.13

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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.