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Finding the Fourth Proportional to 164,657.47, 227,228.40 and 89,205.97

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Solution

The fourth proportional to 164,657.47, 227,228.40 and 89,205.97 is: 123,104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,657.47 : 227,228.40 = 89,205.97 : x
  2. Step 2: Convert to fraction form
    164,657.47/227,228.40 = 89,205.97/x
  3. Step 3: Cross multiply
    164,657.47x = 227,228.40 × 89,205.97
  4. Step 4: Simplify right side
    164,657.47x = 20,270,128,251.38
  5. Step 5: Solve for x
    x = 20,270,128,251.38/164,657.47
  6. Step 6: Final answer
    x = 123,104.82

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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.