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Finding the Fourth Proportional to 106,289.33, 159,443.17 and 27,402.89

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Solution

The fourth proportional to 106,289.33, 159,443.17 and 27,402.89 is: 41,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,289.33 : 159,443.17 = 27,402.89 : x
  2. Step 2: Convert to fraction form
    106,289.33/159,443.17 = 27,402.89/x
  3. Step 3: Cross multiply
    106,289.33x = 159,443.17 × 27,402.89
  4. Step 4: Simplify right side
    106,289.33x = 4,369,202,714.53
  5. Step 5: Solve for x
    x = 4,369,202,714.53/106,289.33
  6. Step 6: Final answer
    x = 41,106.69

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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.