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Finding the Fourth Proportional to 106,554.85, 159,747.40 and 61,525.14

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Solution

The fourth proportional to 106,554.85, 159,747.40 and 61,525.14 is: 92,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,554.85 : 159,747.40 = 61,525.14 : x
  2. Step 2: Convert to fraction form
    106,554.85/159,747.40 = 61,525.14/x
  3. Step 3: Cross multiply
    106,554.85x = 159,747.40 × 61,525.14
  4. Step 4: Simplify right side
    106,554.85x = 9,828,481,286.19
  5. Step 5: Solve for x
    x = 9,828,481,286.19/106,554.85
  6. Step 6: Final answer
    x = 92,238.71

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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.