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Finding the Fourth Proportional to 283,765.48, 425,249.90 and 155,351.64

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Solution

The fourth proportional to 283,765.48, 425,249.90 and 155,351.64 is: 232,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,765.48 : 425,249.90 = 155,351.64 : x
  2. Step 2: Convert to fraction form
    283,765.48/425,249.90 = 155,351.64/x
  3. Step 3: Cross multiply
    283,765.48x = 425,249.90 × 155,351.64
  4. Step 4: Simplify right side
    283,765.48x = 66,063,267,443.25
  5. Step 5: Solve for x
    x = 66,063,267,443.25/283,765.48
  6. Step 6: Final answer
    x = 232,809.39

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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.