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Finding the Fourth Proportional to 164,233.13, 226,678 and 106,772.44

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Solution

The fourth proportional to 164,233.13, 226,678 and 106,772.44 is: 147,369.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,233.13 : 226,678 = 106,772.44 : x
  2. Step 2: Convert to fraction form
    164,233.13/226,678 = 106,772.44/x
  3. Step 3: Cross multiply
    164,233.13x = 226,678 × 106,772.44
  4. Step 4: Simplify right side
    164,233.13x = 24,202,963,154.32
  5. Step 5: Solve for x
    x = 24,202,963,154.32/164,233.13
  6. Step 6: Final answer
    x = 147,369.55

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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.