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Finding the Fourth Proportional to 230,974.38, 346,471.32 and 73,199.34

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Solution

The fourth proportional to 230,974.38, 346,471.32 and 73,199.34 is: 109,802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,974.38 : 346,471.32 = 73,199.34 : x
  2. Step 2: Convert to fraction form
    230,974.38/346,471.32 = 73,199.34/x
  3. Step 3: Cross multiply
    230,974.38x = 346,471.32 × 73,199.34
  4. Step 4: Simplify right side
    230,974.38x = 25,361,471,952.93
  5. Step 5: Solve for x
    x = 25,361,471,952.93/230,974.38
  6. Step 6: Final answer
    x = 109,802.10

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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.