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Finding the Fourth Proportional to 230,819.68, 346,279.74 and 73,049.50

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Solution

The fourth proportional to 230,819.68, 346,279.74 and 73,049.50 is: 109,590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,819.68 : 346,279.74 = 73,049.50 : x
  2. Step 2: Convert to fraction form
    230,819.68/346,279.74 = 73,049.50/x
  3. Step 3: Cross multiply
    230,819.68x = 346,279.74 × 73,049.50
  4. Step 4: Simplify right side
    230,819.68x = 25,295,561,867.13
  5. Step 5: Solve for x
    x = 25,295,561,867.13/230,819.68
  6. Step 6: Final answer
    x = 109,590.14

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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.