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Finding the Fourth Proportional to 92,119.48, 137,460.80 and 82,190.52

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Solution

The fourth proportional to 92,119.48, 137,460.80 and 82,190.52 is: 122,644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,119.48 : 137,460.80 = 82,190.52 : x
  2. Step 2: Convert to fraction form
    92,119.48/137,460.80 = 82,190.52/x
  3. Step 3: Cross multiply
    92,119.48x = 137,460.80 × 82,190.52
  4. Step 4: Simplify right side
    92,119.48x = 11,297,974,631.62
  5. Step 5: Solve for x
    x = 11,297,974,631.62/92,119.48
  6. Step 6: Final answer
    x = 122,644.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.