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Finding the Fourth Proportional to 283,745.49, 425,627.16 and 106,218.60

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Solution

The fourth proportional to 283,745.49, 425,627.16 and 106,218.60 is: 159,331.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,745.49 : 425,627.16 = 106,218.60 : x
  2. Step 2: Convert to fraction form
    283,745.49/425,627.16 = 106,218.60/x
  3. Step 3: Cross multiply
    283,745.49x = 425,627.16 × 106,218.60
  4. Step 4: Simplify right side
    283,745.49x = 45,209,521,057.18
  5. Step 5: Solve for x
    x = 45,209,521,057.18/283,745.49
  6. Step 6: Final answer
    x = 159,331.24

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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.