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Finding the Fourth Proportional to 165,167.48, 227,930.34 and 89,715.80

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Solution

The fourth proportional to 165,167.48, 227,930.34 and 89,715.80 is: 123,807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,167.48 : 227,930.34 = 89,715.80 : x
  2. Step 2: Convert to fraction form
    165,167.48/227,930.34 = 89,715.80/x
  3. Step 3: Cross multiply
    165,167.48x = 227,930.34 × 89,715.80
  4. Step 4: Simplify right side
    165,167.48x = 20,448,952,797.37
  5. Step 5: Solve for x
    x = 20,448,952,797.37/165,167.48
  6. Step 6: Final answer
    x = 123,807.38

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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.