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Finding the Fourth Proportional to 164,656.97, 227,227.70 and 89,205.47

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Solution

The fourth proportional to 164,656.97, 227,227.70 and 89,205.47 is: 123,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,656.97 : 227,227.70 = 89,205.47 : x
  2. Step 2: Convert to fraction form
    164,656.97/227,227.70 = 89,205.47/x
  3. Step 3: Cross multiply
    164,656.97x = 227,227.70 × 89,205.47
  4. Step 4: Simplify right side
    164,656.97x = 20,269,952,862.39
  5. Step 5: Solve for x
    x = 20,269,952,862.39/164,656.97
  6. Step 6: Final answer
    x = 123,104.13

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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.