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Finding the Fourth Proportional to 111,446.40, 167,169.02 and 27,207

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Solution

The fourth proportional to 111,446.40, 167,169.02 and 27,207 is: 40,810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,446.40 : 167,169.02 = 27,207 : x
  2. Step 2: Convert to fraction form
    111,446.40/167,169.02 = 27,207/x
  3. Step 3: Cross multiply
    111,446.40x = 167,169.02 × 27,207
  4. Step 4: Simplify right side
    111,446.40x = 4,548,167,527.14
  5. Step 5: Solve for x
    x = 4,548,167,527.14/111,446.40
  6. Step 6: Final answer
    x = 40,810.36

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1.5x scale

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.