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Finding the Fourth Proportional to 283,569.75, 425,420.22 and 165,340.53

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Solution

The fourth proportional to 283,569.75, 425,420.22 and 165,340.53 is: 248,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,569.75 : 425,420.22 = 165,340.53 : x
  2. Step 2: Convert to fraction form
    283,569.75/425,420.22 = 165,340.53/x
  3. Step 3: Cross multiply
    283,569.75x = 425,420.22 × 165,340.53
  4. Step 4: Simplify right side
    283,569.75x = 70,339,204,647.52
  5. Step 5: Solve for x
    x = 70,339,204,647.52/283,569.75
  6. Step 6: Final answer
    x = 248,049.04

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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.