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Finding the Fourth Proportional to 213,149.60, 319,724.40 and 204,048.80

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Solution

The fourth proportional to 213,149.60, 319,724.40 and 204,048.80 is: 306,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,149.60 : 319,724.40 = 204,048.80 : x
  2. Step 2: Convert to fraction form
    213,149.60/319,724.40 = 204,048.80/x
  3. Step 3: Cross multiply
    213,149.60x = 319,724.40 × 204,048.80
  4. Step 4: Simplify right side
    213,149.60x = 65,239,380,150.72
  5. Step 5: Solve for x
    x = 65,239,380,150.72/213,149.60
  6. Step 6: Final answer
    x = 306,073.20

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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.