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Finding the Fourth Proportional to 283,654.29, 425,555.25 and 106,175.01

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Solution

The fourth proportional to 283,654.29, 425,555.25 and 106,175.01 is: 159,290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,654.29 : 425,555.25 = 106,175.01 : x
  2. Step 2: Convert to fraction form
    283,654.29/425,555.25 = 106,175.01/x
  3. Step 3: Cross multiply
    283,654.29x = 425,555.25 × 106,175.01
  4. Step 4: Simplify right side
    283,654.29x = 45,183,332,924.30
  5. Step 5: Solve for x
    x = 45,183,332,924.30/283,654.29
  6. Step 6: Final answer
    x = 159,290.14

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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.