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Finding the Fourth Proportional to 284,102.80, 425,765.40 and 189,062.80

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Solution

The fourth proportional to 284,102.80, 425,765.40 and 189,062.80 is: 283,335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,102.80 : 425,765.40 = 189,062.80 : x
  2. Step 2: Convert to fraction form
    284,102.80/425,765.40 = 189,062.80/x
  3. Step 3: Cross multiply
    284,102.80x = 425,765.40 × 189,062.80
  4. Step 4: Simplify right side
    284,102.80x = 80,496,398,667.12
  5. Step 5: Solve for x
    x = 80,496,398,667.12/284,102.80
  6. Step 6: Final answer
    x = 283,335.46

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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.