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Finding the Fourth Proportional to 213,429.60, 319,921.92 and 80,218.08

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Solution

The fourth proportional to 213,429.60, 319,921.92 and 80,218.08 is: 120,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,429.60 : 319,921.92 = 80,218.08 : x
  2. Step 2: Convert to fraction form
    213,429.60/319,921.92 = 80,218.08/x
  3. Step 3: Cross multiply
    213,429.60x = 319,921.92 × 80,218.08
  4. Step 4: Simplify right side
    213,429.60x = 25,663,522,172.31
  5. Step 5: Solve for x
    x = 25,663,522,172.31/213,429.60
  6. Step 6: Final answer
    x = 120,243.50

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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.