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Finding the Fourth Proportional to 111,194.96, 166,823.64 and 44,681.80

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Solution

The fourth proportional to 111,194.96, 166,823.64 and 44,681.80 is: 67,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,194.96 : 166,823.64 = 44,681.80 : x
  2. Step 2: Convert to fraction form
    111,194.96/166,823.64 = 44,681.80/x
  3. Step 3: Cross multiply
    111,194.96x = 166,823.64 × 44,681.80
  4. Step 4: Simplify right side
    111,194.96x = 7,453,980,517.75
  5. Step 5: Solve for x
    x = 7,453,980,517.75/111,194.96
  6. Step 6: Final answer
    x = 67,035.24

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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.