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Finding the Fourth Proportional to 321,902.52, 444,246.68 and 185,942.19

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Solution

The fourth proportional to 321,902.52, 444,246.68 and 185,942.19 is: 256,612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,902.52 : 444,246.68 = 185,942.19 : x
  2. Step 2: Convert to fraction form
    321,902.52/444,246.68 = 185,942.19/x
  3. Step 3: Cross multiply
    321,902.52x = 444,246.68 × 185,942.19
  4. Step 4: Simplify right side
    321,902.52x = 82,604,199,649.72
  5. Step 5: Solve for x
    x = 82,604,199,649.72/321,902.52
  6. Step 6: Final answer
    x = 256,612.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.