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Finding the Fourth Proportional to 194,969.43, 292,473.42 and 81,093.87

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Solution

The fourth proportional to 194,969.43, 292,473.42 and 81,093.87 is: 121,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,969.43 : 292,473.42 = 81,093.87 : x
  2. Step 2: Convert to fraction form
    194,969.43/292,473.42 = 81,093.87/x
  3. Step 3: Cross multiply
    194,969.43x = 292,473.42 × 81,093.87
  4. Step 4: Simplify right side
    194,969.43x = 23,717,801,499.94
  5. Step 5: Solve for x
    x = 23,717,801,499.94/194,969.43
  6. Step 6: Final answer
    x = 121,648.82

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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.