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Finding the Fourth Proportional to 98,769.34, 147,863.17 and 61,208.70

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Solution

The fourth proportional to 98,769.34, 147,863.17 and 61,208.70 is: 91,632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,769.34 : 147,863.17 = 61,208.70 : x
  2. Step 2: Convert to fraction form
    98,769.34/147,863.17 = 61,208.70/x
  3. Step 3: Cross multiply
    98,769.34x = 147,863.17 × 61,208.70
  4. Step 4: Simplify right side
    98,769.34x = 9,050,512,413.58
  5. Step 5: Solve for x
    x = 9,050,512,413.58/98,769.34
  6. Step 6: Final answer
    x = 91,632.81

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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.