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Finding the Fourth Proportional to 322,142.88, 444,557.52 and 178,903.20

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Solution

The fourth proportional to 322,142.88, 444,557.52 and 178,903.20 is: 246,886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,142.88 : 444,557.52 = 178,903.20 : x
  2. Step 2: Convert to fraction form
    322,142.88/444,557.52 = 178,903.20/x
  3. Step 3: Cross multiply
    322,142.88x = 444,557.52 × 178,903.20
  4. Step 4: Simplify right side
    322,142.88x = 79,532,762,912.06
  5. Step 5: Solve for x
    x = 79,532,762,912.06/322,142.88
  6. Step 6: Final answer
    x = 246,886.61

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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.