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Finding the Fourth Proportional to 283,201.60, 424,821.60 and 96,227.20

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Solution

The fourth proportional to 283,201.60, 424,821.60 and 96,227.20 is: 144,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,201.60 : 424,821.60 = 96,227.20 : x
  2. Step 2: Convert to fraction form
    283,201.60/424,821.60 = 96,227.20/x
  3. Step 3: Cross multiply
    283,201.60x = 424,821.60 × 96,227.20
  4. Step 4: Simplify right side
    283,201.60x = 40,879,393,067.52
  5. Step 5: Solve for x
    x = 40,879,393,067.52/283,201.60
  6. Step 6: Final answer
    x = 144,347.32

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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.