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Finding the Fourth Proportional to 283,309.64, 425,010.62 and 83,650.21

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Solution

The fourth proportional to 283,309.64, 425,010.62 and 83,650.21 is: 125,488.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,309.64 : 425,010.62 = 83,650.21 : x
  2. Step 2: Convert to fraction form
    283,309.64/425,010.62 = 83,650.21/x
  3. Step 3: Cross multiply
    283,309.64x = 425,010.62 × 83,650.21
  4. Step 4: Simplify right side
    283,309.64x = 35,552,227,615.23
  5. Step 5: Solve for x
    x = 35,552,227,615.23/283,309.64
  6. Step 6: Final answer
    x = 125,488.94

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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.