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Finding the Fourth Proportional to 111,706.20, 167,267.70 and 72,048.60

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Solution

The fourth proportional to 111,706.20, 167,267.70 and 72,048.60 is: 107,884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,706.20 : 167,267.70 = 72,048.60 : x
  2. Step 2: Convert to fraction form
    111,706.20/167,267.70 = 72,048.60/x
  3. Step 3: Cross multiply
    111,706.20x = 167,267.70 × 72,048.60
  4. Step 4: Simplify right side
    111,706.20x = 12,051,403,610.22
  5. Step 5: Solve for x
    x = 12,051,403,610.22/111,706.20
  6. Step 6: Final answer
    x = 107,884.82

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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.