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Finding the Fourth Proportional to 111,967.21, 167,534.58 and 67,011.03

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Solution

The fourth proportional to 111,967.21, 167,534.58 and 67,011.03 is: 100,267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,967.21 : 167,534.58 = 67,011.03 : x
  2. Step 2: Convert to fraction form
    111,967.21/167,534.58 = 67,011.03/x
  3. Step 3: Cross multiply
    111,967.21x = 167,534.58 × 67,011.03
  4. Step 4: Simplify right side
    111,967.21x = 11,226,664,640.77
  5. Step 5: Solve for x
    x = 11,226,664,640.77/111,967.21
  6. Step 6: Final answer
    x = 100,267.43

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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.