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Finding the Fourth Proportional to 283,680.48, 425,649.90 and 106,201.32

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Solution

The fourth proportional to 283,680.48, 425,649.90 and 106,201.32 is: 159,350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,680.48 : 425,649.90 = 106,201.32 : x
  2. Step 2: Convert to fraction form
    283,680.48/425,649.90 = 106,201.32/x
  3. Step 3: Cross multiply
    283,680.48x = 425,649.90 × 106,201.32
  4. Step 4: Simplify right side
    283,680.48x = 45,204,581,237.87
  5. Step 5: Solve for x
    x = 45,204,581,237.87/283,680.48
  6. Step 6: Final answer
    x = 159,350.34

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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.