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Finding the Fourth Proportional to 98,212.80, 147,319.20 and 24,340.80

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Solution

The fourth proportional to 98,212.80, 147,319.20 and 24,340.80 is: 36,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,212.80 : 147,319.20 = 24,340.80 : x
  2. Step 2: Convert to fraction form
    98,212.80/147,319.20 = 24,340.80/x
  3. Step 3: Cross multiply
    98,212.80x = 147,319.20 × 24,340.80
  4. Step 4: Simplify right side
    98,212.80x = 3,585,867,183.36
  5. Step 5: Solve for x
    x = 3,585,867,183.36/98,212.80
  6. Step 6: Final answer
    x = 36,511.20

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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.