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Finding the Fourth Proportional to 538,145.80, 807,218.70 and 164,120.20

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Solution

The fourth proportional to 538,145.80, 807,218.70 and 164,120.20 is: 246,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,145.80 : 807,218.70 = 164,120.20 : x
  2. Step 2: Convert to fraction form
    538,145.80/807,218.70 = 164,120.20/x
  3. Step 3: Cross multiply
    538,145.80x = 807,218.70 × 164,120.20
  4. Step 4: Simplify right side
    538,145.80x = 132,480,894,487.74
  5. Step 5: Solve for x
    x = 132,480,894,487.74/538,145.80
  6. Step 6: Final answer
    x = 246,180.30

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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.