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Finding the Fourth Proportional to 164,717.80, 227,311.38 and 89,266.12

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Solution

The fourth proportional to 164,717.80, 227,311.38 and 89,266.12 is: 123,187.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,717.80 : 227,311.38 = 89,266.12 : x
  2. Step 2: Convert to fraction form
    164,717.80/227,311.38 = 89,266.12/x
  3. Step 3: Cross multiply
    164,717.80x = 227,311.38 × 89,266.12
  4. Step 4: Simplify right side
    164,717.80x = 20,291,204,924.45
  5. Step 5: Solve for x
    x = 20,291,204,924.45/164,717.80
  6. Step 6: Final answer
    x = 123,187.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.