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Finding the Fourth Proportional to 543,113.90, 814,666.80 and 164,033.90

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Solution

The fourth proportional to 543,113.90, 814,666.80 and 164,033.90 is: 246,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,113.90 : 814,666.80 = 164,033.90 : x
  2. Step 2: Convert to fraction form
    543,113.90/814,666.80 = 164,033.90/x
  3. Step 3: Cross multiply
    543,113.90x = 814,666.80 × 164,033.90
  4. Step 4: Simplify right side
    543,113.90x = 133,632,972,404.52
  5. Step 5: Solve for x
    x = 133,632,972,404.52/543,113.90
  6. Step 6: Final answer
    x = 246,049.63

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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.