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Finding the Fourth Proportional to 192,692.91, 265,894.02 and 111,033.06

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Solution

The fourth proportional to 192,692.91, 265,894.02 and 111,033.06 is: 153,212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,692.91 : 265,894.02 = 111,033.06 : x
  2. Step 2: Convert to fraction form
    192,692.91/265,894.02 = 111,033.06/x
  3. Step 3: Cross multiply
    192,692.91x = 265,894.02 × 111,033.06
  4. Step 4: Simplify right side
    192,692.91x = 29,523,026,121.14
  5. Step 5: Solve for x
    x = 29,523,026,121.14/192,692.91
  6. Step 6: Final answer
    x = 153,212.83

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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.