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Finding the Fourth Proportional to 146,233, 201,801.81 and 79,165

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Solution

The fourth proportional to 146,233, 201,801.81 and 79,165 is: 109,247.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,233 : 201,801.81 = 79,165 : x
  2. Step 2: Convert to fraction form
    146,233/201,801.81 = 79,165/x
  3. Step 3: Cross multiply
    146,233x = 201,801.81 × 79,165
  4. Step 4: Simplify right side
    146,233x = 15,975,640,288.65
  5. Step 5: Solve for x
    x = 15,975,640,288.65/146,233
  6. Step 6: Final answer
    x = 109,247.85

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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.