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Finding the Fourth Proportional to 167,890.93, 231,843.42 and 106,656.89

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Solution

The fourth proportional to 167,890.93, 231,843.42 and 106,656.89 is: 147,284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,890.93 : 231,843.42 = 106,656.89 : x
  2. Step 2: Convert to fraction form
    167,890.93/231,843.42 = 106,656.89/x
  3. Step 3: Cross multiply
    167,890.93x = 231,843.42 × 106,656.89
  4. Step 4: Simplify right side
    167,890.93x = 24,727,696,984.95
  5. Step 5: Solve for x
    x = 24,727,696,984.95/167,890.93
  6. Step 6: Final answer
    x = 147,284.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.