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Finding the Fourth Proportional to 284,205.60, 426,089.70 and 159,546.60

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Solution

The fourth proportional to 284,205.60, 426,089.70 and 159,546.60 is: 239,197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,205.60 : 426,089.70 = 159,546.60 : x
  2. Step 2: Convert to fraction form
    284,205.60/426,089.70 = 159,546.60/x
  3. Step 3: Cross multiply
    284,205.60x = 426,089.70 × 159,546.60
  4. Step 4: Simplify right side
    284,205.60x = 67,981,162,930.02
  5. Step 5: Solve for x
    x = 67,981,162,930.02/284,205.60
  6. Step 6: Final answer
    x = 239,197.13

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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.