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Finding the Fourth Proportional to 132,284, 198,454.74 and 43,546.52

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Solution

The fourth proportional to 132,284, 198,454.74 and 43,546.52 is: 65,329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,284 : 198,454.74 = 43,546.52 : x
  2. Step 2: Convert to fraction form
    132,284/198,454.74 = 43,546.52/x
  3. Step 3: Cross multiply
    132,284x = 198,454.74 × 43,546.52
  4. Step 4: Simplify right side
    132,284x = 8,642,013,304.50
  5. Step 5: Solve for x
    x = 8,642,013,304.50/132,284
  6. Step 6: Final answer
    x = 65,329.24

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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.