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Finding the Fourth Proportional to 164,491.84, 226,998.84 and 92,872

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Solution

The fourth proportional to 164,491.84, 226,998.84 and 92,872 is: 128,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,491.84 : 226,998.84 = 92,872 : x
  2. Step 2: Convert to fraction form
    164,491.84/226,998.84 = 92,872/x
  3. Step 3: Cross multiply
    164,491.84x = 226,998.84 × 92,872
  4. Step 4: Simplify right side
    164,491.84x = 21,081,836,268.48
  5. Step 5: Solve for x
    x = 21,081,836,268.48/164,491.84
  6. Step 6: Final answer
    x = 128,163.42

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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.