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Finding the Fourth Proportional to 164,524.97, 227,045.42 and 89,073.47

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Solution

The fourth proportional to 164,524.97, 227,045.42 and 89,073.47 is: 122,921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,524.97 : 227,045.42 = 89,073.47 : x
  2. Step 2: Convert to fraction form
    164,524.97/227,045.42 = 89,073.47/x
  3. Step 3: Cross multiply
    164,524.97x = 227,045.42 × 89,073.47
  4. Step 4: Simplify right side
    164,524.97x = 20,223,721,826.41
  5. Step 5: Solve for x
    x = 20,223,721,826.41/164,524.97
  6. Step 6: Final answer
    x = 122,921.90

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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.