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Finding the Fourth Proportional to 226,315.64, 338,956.32 and 108,069.80

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Solution

The fourth proportional to 226,315.64, 338,956.32 and 108,069.80 is: 161,857.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,315.64 : 338,956.32 = 108,069.80 : x
  2. Step 2: Convert to fraction form
    226,315.64/338,956.32 = 108,069.80/x
  3. Step 3: Cross multiply
    226,315.64x = 338,956.32 × 108,069.80
  4. Step 4: Simplify right side
    226,315.64x = 36,630,941,711.14
  5. Step 5: Solve for x
    x = 36,630,941,711.14/226,315.64
  6. Step 6: Final answer
    x = 161,857.76

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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.