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Finding the Fourth Proportional to 110,850.40, 166,178.40 and 66,494.80

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Solution

The fourth proportional to 110,850.40, 166,178.40 and 66,494.80 is: 99,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,850.40 : 166,178.40 = 66,494.80 : x
  2. Step 2: Convert to fraction form
    110,850.40/166,178.40 = 66,494.80/x
  3. Step 3: Cross multiply
    110,850.40x = 166,178.40 × 66,494.80
  4. Step 4: Simplify right side
    110,850.40x = 11,049,999,472.32
  5. Step 5: Solve for x
    x = 11,049,999,472.32/110,850.40
  6. Step 6: Final answer
    x = 99,683.89

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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.