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Finding the Fourth Proportional to 194,376.81, 290,500.24 and 141,896.81

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Solution

The fourth proportional to 194,376.81, 290,500.24 and 141,896.81 is: 212,067.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,376.81 : 290,500.24 = 141,896.81 : x
  2. Step 2: Convert to fraction form
    194,376.81/290,500.24 = 141,896.81/x
  3. Step 3: Cross multiply
    194,376.81x = 290,500.24 × 141,896.81
  4. Step 4: Simplify right side
    194,376.81x = 41,221,055,907.73
  5. Step 5: Solve for x
    x = 41,221,055,907.73/194,376.81
  6. Step 6: Final answer
    x = 212,067.77

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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.