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Finding the Fourth Proportional to 132,323.97, 198,485.65 and 57,434.41

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Solution

The fourth proportional to 132,323.97, 198,485.65 and 57,434.41 is: 86,151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,323.97 : 198,485.65 = 57,434.41 : x
  2. Step 2: Convert to fraction form
    132,323.97/198,485.65 = 57,434.41/x
  3. Step 3: Cross multiply
    132,323.97x = 198,485.65 × 57,434.41
  4. Step 4: Simplify right side
    132,323.97x = 11,399,906,201.22
  5. Step 5: Solve for x
    x = 11,399,906,201.22/132,323.97
  6. Step 6: Final answer
    x = 86,151.48

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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.