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Finding the Fourth Proportional to 132,210.76, 198,315.32 and 47,951.32

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Solution

The fourth proportional to 132,210.76, 198,315.32 and 47,951.32 is: 71,926.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,210.76 : 198,315.32 = 47,951.32 : x
  2. Step 2: Convert to fraction form
    132,210.76/198,315.32 = 47,951.32/x
  3. Step 3: Cross multiply
    132,210.76x = 198,315.32 × 47,951.32
  4. Step 4: Simplify right side
    132,210.76x = 9,509,481,370.22
  5. Step 5: Solve for x
    x = 9,509,481,370.22/132,210.76
  6. Step 6: Final answer
    x = 71,926.68

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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.