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Finding the Fourth Proportional to 164,674.80, 227,251.44 and 89,223.24

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Solution

The fourth proportional to 164,674.80, 227,251.44 and 89,223.24 is: 123,128.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,674.80 : 227,251.44 = 89,223.24 : x
  2. Step 2: Convert to fraction form
    164,674.80/227,251.44 = 89,223.24/x
  3. Step 3: Cross multiply
    164,674.80x = 227,251.44 × 89,223.24
  4. Step 4: Simplify right side
    164,674.80x = 20,276,109,771.47
  5. Step 5: Solve for x
    x = 20,276,109,771.47/164,674.80
  6. Step 6: Final answer
    x = 123,128.19

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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.