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Finding the Fourth Proportional to 132,005.74, 198,005.34 and 38,512.30

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Solution

The fourth proportional to 132,005.74, 198,005.34 and 38,512.30 is: 57,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,005.74 : 198,005.34 = 38,512.30 : x
  2. Step 2: Convert to fraction form
    132,005.74/198,005.34 = 38,512.30/x
  3. Step 3: Cross multiply
    132,005.74x = 198,005.34 × 38,512.30
  4. Step 4: Simplify right side
    132,005.74x = 7,625,641,055.68
  5. Step 5: Solve for x
    x = 7,625,641,055.68/132,005.74
  6. Step 6: Final answer
    x = 57,767.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.