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Finding the Fourth Proportional to 111,754.24, 167,741.54 and 82,088.80

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Solution

The fourth proportional to 111,754.24, 167,741.54 and 82,088.80 is: 123,214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,754.24 : 167,741.54 = 82,088.80 : x
  2. Step 2: Convert to fraction form
    111,754.24/167,741.54 = 82,088.80/x
  3. Step 3: Cross multiply
    111,754.24x = 167,741.54 × 82,088.80
  4. Step 4: Simplify right side
    111,754.24x = 13,769,701,728.75
  5. Step 5: Solve for x
    x = 13,769,701,728.75/111,754.24
  6. Step 6: Final answer
    x = 123,214.13

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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.