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Finding the Fourth Proportional to 111,777.50, 167,666.68 and 106,171.50

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Solution

The fourth proportional to 111,777.50, 167,666.68 and 106,171.50 is: 159,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,777.50 : 167,666.68 = 106,171.50 : x
  2. Step 2: Convert to fraction form
    111,777.50/167,666.68 = 106,171.50/x
  3. Step 3: Cross multiply
    111,777.50x = 167,666.68 × 106,171.50
  4. Step 4: Simplify right side
    111,777.50x = 17,801,422,915.62
  5. Step 5: Solve for x
    x = 17,801,422,915.62/111,777.50
  6. Step 6: Final answer
    x = 159,257.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.