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Finding the Fourth Proportional to 283,859.34, 425,857.40 and 106,367.88

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Solution

The fourth proportional to 283,859.34, 425,857.40 and 106,367.88 is: 159,577.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,859.34 : 425,857.40 = 106,367.88 : x
  2. Step 2: Convert to fraction form
    283,859.34/425,857.40 = 106,367.88/x
  3. Step 3: Cross multiply
    283,859.34x = 425,857.40 × 106,367.88
  4. Step 4: Simplify right side
    283,859.34x = 45,297,550,284.32
  5. Step 5: Solve for x
    x = 45,297,550,284.32/283,859.34
  6. Step 6: Final answer
    x = 159,577.45

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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.