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Finding the Fourth Proportional to 111,077.50, 166,599.14 and 36,197.46

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Solution

The fourth proportional to 111,077.50, 166,599.14 and 36,197.46 is: 54,290.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,077.50 : 166,599.14 = 36,197.46 : x
  2. Step 2: Convert to fraction form
    111,077.50/166,599.14 = 36,197.46/x
  3. Step 3: Cross multiply
    111,077.50x = 166,599.14 × 36,197.46
  4. Step 4: Simplify right side
    111,077.50x = 6,030,465,706.18
  5. Step 5: Solve for x
    x = 6,030,465,706.18/111,077.50
  6. Step 6: Final answer
    x = 54,290.61

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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.