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Finding the Fourth Proportional to 283,998.20, 425,924.32 and 84,271.32

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Solution

The fourth proportional to 283,998.20, 425,924.32 and 84,271.32 is: 126,385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,998.20 : 425,924.32 = 84,271.32 : x
  2. Step 2: Convert to fraction form
    283,998.20/425,924.32 = 84,271.32/x
  3. Step 3: Cross multiply
    283,998.20x = 425,924.32 × 84,271.32
  4. Step 4: Simplify right side
    283,998.20x = 35,893,204,666.50
  5. Step 5: Solve for x
    x = 35,893,204,666.50/283,998.20
  6. Step 6: Final answer
    x = 126,385.32

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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.