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Finding the Fourth Proportional to 160,292.46, 221,211.67 and 96,650.78

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Solution

The fourth proportional to 160,292.46, 221,211.67 and 96,650.78 is: 133,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,292.46 : 221,211.67 = 96,650.78 : x
  2. Step 2: Convert to fraction form
    160,292.46/221,211.67 = 96,650.78/x
  3. Step 3: Cross multiply
    160,292.46x = 221,211.67 × 96,650.78
  4. Step 4: Simplify right side
    160,292.46x = 21,380,280,450.60
  5. Step 5: Solve for x
    x = 21,380,280,450.60/160,292.46
  6. Step 6: Final answer
    x = 133,382.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.