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Finding the Fourth Proportional to 111,977.40, 167,480.10 and 100,216.20

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Solution

The fourth proportional to 111,977.40, 167,480.10 and 100,216.20 is: 149,889.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,977.40 : 167,480.10 = 100,216.20 : x
  2. Step 2: Convert to fraction form
    111,977.40/167,480.10 = 100,216.20/x
  3. Step 3: Cross multiply
    111,977.40x = 167,480.10 × 100,216.20
  4. Step 4: Simplify right side
    111,977.40x = 16,784,219,197.62
  5. Step 5: Solve for x
    x = 16,784,219,197.62/111,977.40
  6. Step 6: Final answer
    x = 149,889.35

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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.