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Finding the Fourth Proportional to 132,206.76, 198,309.33 and 47,947.32

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Solution

The fourth proportional to 132,206.76, 198,309.33 and 47,947.32 is: 71,920.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,206.76 : 198,309.33 = 47,947.32 : x
  2. Step 2: Convert to fraction form
    132,206.76/198,309.33 = 47,947.32/x
  3. Step 3: Cross multiply
    132,206.76x = 198,309.33 × 47,947.32
  4. Step 4: Simplify right side
    132,206.76x = 9,508,400,904.50
  5. Step 5: Solve for x
    x = 9,508,400,904.50/132,206.76
  6. Step 6: Final answer
    x = 71,920.69

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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.