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Finding the Fourth Proportional to 111,811.80, 167,717.70 and 99,564.60

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Solution

The fourth proportional to 111,811.80, 167,717.70 and 99,564.60 is: 149,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,811.80 : 167,717.70 = 99,564.60 : x
  2. Step 2: Convert to fraction form
    111,811.80/167,717.70 = 99,564.60/x
  3. Step 3: Cross multiply
    111,811.80x = 167,717.70 × 99,564.60
  4. Step 4: Simplify right side
    111,811.80x = 16,698,745,713.42
  5. Step 5: Solve for x
    x = 16,698,745,713.42/111,811.80
  6. Step 6: Final answer
    x = 149,346.90

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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.