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Finding the Fourth Proportional to 164,963.54, 227,649.66 and 89,512.04

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Solution

The fourth proportional to 164,963.54, 227,649.66 and 89,512.04 is: 123,526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,963.54 : 227,649.66 = 89,512.04 : x
  2. Step 2: Convert to fraction form
    164,963.54/227,649.66 = 89,512.04/x
  3. Step 3: Cross multiply
    164,963.54x = 227,649.66 × 89,512.04
  4. Step 4: Simplify right side
    164,963.54x = 20,377,385,471.91
  5. Step 5: Solve for x
    x = 20,377,385,471.91/164,963.54
  6. Step 6: Final answer
    x = 123,526.60

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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.