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Finding the Fourth Proportional to 283,690.15, 425,597.49 and 84,026.16

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Solution

The fourth proportional to 283,690.15, 425,597.49 and 84,026.16 is: 126,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,690.15 : 425,597.49 = 84,026.16 : x
  2. Step 2: Convert to fraction form
    283,690.15/425,597.49 = 84,026.16/x
  3. Step 3: Cross multiply
    283,690.15x = 425,597.49 × 84,026.16
  4. Step 4: Simplify right side
    283,690.15x = 35,761,322,790.34
  5. Step 5: Solve for x
    x = 35,761,322,790.34/283,690.15
  6. Step 6: Final answer
    x = 126,057.68

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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.