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Finding the Fourth Proportional to 295,234.80, 442,852.20 and 108,319.20

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Solution

The fourth proportional to 295,234.80, 442,852.20 and 108,319.20 is: 162,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,234.80 : 442,852.20 = 108,319.20 : x
  2. Step 2: Convert to fraction form
    295,234.80/442,852.20 = 108,319.20/x
  3. Step 3: Cross multiply
    295,234.80x = 442,852.20 × 108,319.20
  4. Step 4: Simplify right side
    295,234.80x = 47,969,396,022.24
  5. Step 5: Solve for x
    x = 47,969,396,022.24/295,234.80
  6. Step 6: Final answer
    x = 162,478.80

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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.