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Finding the Fourth Proportional to 213,343.80, 319,908.24 and 71,138.64

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Solution

The fourth proportional to 213,343.80, 319,908.24 and 71,138.64 is: 106,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,343.80 : 319,908.24 = 71,138.64 : x
  2. Step 2: Convert to fraction form
    213,343.80/319,908.24 = 71,138.64/x
  3. Step 3: Cross multiply
    213,343.80x = 319,908.24 × 71,138.64
  4. Step 4: Simplify right side
    213,343.80x = 22,757,837,118.39
  5. Step 5: Solve for x
    x = 22,757,837,118.39/213,343.80
  6. Step 6: Final answer
    x = 106,672.13

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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.