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Finding the Fourth Proportional to 283,781.28, 425,715.60 and 96,749.04

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Solution

The fourth proportional to 283,781.28, 425,715.60 and 96,749.04 is: 145,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,781.28 : 425,715.60 = 96,749.04 : x
  2. Step 2: Convert to fraction form
    283,781.28/425,715.60 = 96,749.04/x
  3. Step 3: Cross multiply
    283,781.28x = 425,715.60 × 96,749.04
  4. Step 4: Simplify right side
    283,781.28x = 41,187,575,613.02
  5. Step 5: Solve for x
    x = 41,187,575,613.02/283,781.28
  6. Step 6: Final answer
    x = 145,138.45

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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.