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Finding the Fourth Proportional to 96,546.80, 144,949.80 and 61,641.20

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Solution

The fourth proportional to 96,546.80, 144,949.80 and 61,641.20 is: 92,544.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,546.80 : 144,949.80 = 61,641.20 : x
  2. Step 2: Convert to fraction form
    96,546.80/144,949.80 = 61,641.20/x
  3. Step 3: Cross multiply
    96,546.80x = 144,949.80 × 61,641.20
  4. Step 4: Simplify right side
    96,546.80x = 8,934,879,611.76
  5. Step 5: Solve for x
    x = 8,934,879,611.76/96,546.80
  6. Step 6: Final answer
    x = 92,544.54

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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.