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Finding the Fourth Proportional to 283,802.49, 425,747.52 and 96,770.25

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Solution

The fourth proportional to 283,802.49, 425,747.52 and 96,770.25 is: 145,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,802.49 : 425,747.52 = 96,770.25 : x
  2. Step 2: Convert to fraction form
    283,802.49/425,747.52 = 96,770.25/x
  3. Step 3: Cross multiply
    283,802.49x = 425,747.52 × 96,770.25
  4. Step 4: Simplify right side
    283,802.49x = 41,199,693,947.28
  5. Step 5: Solve for x
    x = 41,199,693,947.28/283,802.49
  6. Step 6: Final answer
    x = 145,170.30

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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.