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Finding the Fourth Proportional to 215,915.60, 323,732.60 and 193,797.20

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Solution

The fourth proportional to 215,915.60, 323,732.60 and 193,797.20 is: 290,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,915.60 : 323,732.60 = 193,797.20 : x
  2. Step 2: Convert to fraction form
    215,915.60/323,732.60 = 193,797.20/x
  3. Step 3: Cross multiply
    215,915.60x = 323,732.60 × 193,797.20
  4. Step 4: Simplify right side
    215,915.60x = 62,738,471,428.72
  5. Step 5: Solve for x
    x = 62,738,471,428.72/215,915.60
  6. Step 6: Final answer
    x = 290,569.42

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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.