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Finding the Fourth Proportional to 238,076.91, 356,972.14 and 111,744.85

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Solution

The fourth proportional to 238,076.91, 356,972.14 and 111,744.85 is: 167,550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,076.91 : 356,972.14 = 111,744.85 : x
  2. Step 2: Convert to fraction form
    238,076.91/356,972.14 = 111,744.85/x
  3. Step 3: Cross multiply
    238,076.91x = 356,972.14 × 111,744.85
  4. Step 4: Simplify right side
    238,076.91x = 39,889,798,238.48
  5. Step 5: Solve for x
    x = 39,889,798,238.48/238,076.91
  6. Step 6: Final answer
    x = 167,550.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.