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Finding the Fourth Proportional to 96,873.74, 145,080.97 and 61,706.78

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Solution

The fourth proportional to 96,873.74, 145,080.97 and 61,706.78 is: 92,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,873.74 : 145,080.97 = 61,706.78 : x
  2. Step 2: Convert to fraction form
    96,873.74/145,080.97 = 61,706.78/x
  3. Step 3: Cross multiply
    96,873.74x = 145,080.97 × 61,706.78
  4. Step 4: Simplify right side
    96,873.74x = 8,952,479,497.98
  5. Step 5: Solve for x
    x = 8,952,479,497.98/96,873.74
  6. Step 6: Final answer
    x = 92,413.89

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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.