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Finding the Fourth Proportional to 201,092, 277,506.96 and 111,668

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Solution

The fourth proportional to 201,092, 277,506.96 and 111,668 is: 154,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,092 : 277,506.96 = 111,668 : x
  2. Step 2: Convert to fraction form
    201,092/277,506.96 = 111,668/x
  3. Step 3: Cross multiply
    201,092x = 277,506.96 × 111,668
  4. Step 4: Simplify right side
    201,092x = 30,988,647,209.28
  5. Step 5: Solve for x
    x = 30,988,647,209.28/201,092
  6. Step 6: Final answer
    x = 154,101.84

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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.