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Finding the Fourth Proportional to 283,810.20, 425,132.10 and 143,647.80

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Solution

The fourth proportional to 283,810.20, 425,132.10 and 143,647.80 is: 215,176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,810.20 : 425,132.10 = 143,647.80 : x
  2. Step 2: Convert to fraction form
    283,810.20/425,132.10 = 143,647.80/x
  3. Step 3: Cross multiply
    283,810.20x = 425,132.10 × 143,647.80
  4. Step 4: Simplify right side
    283,810.20x = 61,069,290,874.38
  5. Step 5: Solve for x
    x = 61,069,290,874.38/283,810.20
  6. Step 6: Final answer
    x = 215,176.52

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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.