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Finding the Fourth Proportional to 538,092.97, 807,090.25 and 164,115.97

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Solution

The fourth proportional to 538,092.97, 807,090.25 and 164,115.97 is: 246,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,092.97 : 807,090.25 = 164,115.97 : x
  2. Step 2: Convert to fraction form
    538,092.97/807,090.25 = 164,115.97/x
  3. Step 3: Cross multiply
    538,092.97x = 807,090.25 × 164,115.97
  4. Step 4: Simplify right side
    538,092.97x = 132,456,402,137.45
  5. Step 5: Solve for x
    x = 132,456,402,137.45/538,092.97
  6. Step 6: Final answer
    x = 246,158.95

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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.