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Finding the Fourth Proportional to 137,144.34, 188,838.41 and 120,052.94

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Solution

The fourth proportional to 137,144.34, 188,838.41 and 120,052.94 is: 165,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,144.34 : 188,838.41 = 120,052.94 : x
  2. Step 2: Convert to fraction form
    137,144.34/188,838.41 = 120,052.94/x
  3. Step 3: Cross multiply
    137,144.34x = 188,838.41 × 120,052.94
  4. Step 4: Simplify right side
    137,144.34x = 22,670,604,760.97
  5. Step 5: Solve for x
    x = 22,670,604,760.97/137,144.34
  6. Step 6: Final answer
    x = 165,304.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.