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Finding the Fourth Proportional to 283,808.52, 425,756.52 and 96,776.28

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Solution

The fourth proportional to 283,808.52, 425,756.52 and 96,776.28 is: 145,179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,808.52 : 425,756.52 = 96,776.28 : x
  2. Step 2: Convert to fraction form
    283,808.52/425,756.52 = 96,776.28/x
  3. Step 3: Cross multiply
    283,808.52x = 425,756.52 × 96,776.28
  4. Step 4: Simplify right side
    283,808.52x = 41,203,132,191.35
  5. Step 5: Solve for x
    x = 41,203,132,191.35/283,808.52
  6. Step 6: Final answer
    x = 145,179.33

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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.