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Finding the Fourth Proportional to 141,494.34, 212,214.42 and 54,940.21

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Solution

The fourth proportional to 141,494.34, 212,214.42 and 54,940.21 is: 82,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,494.34 : 212,214.42 = 54,940.21 : x
  2. Step 2: Convert to fraction form
    141,494.34/212,214.42 = 54,940.21/x
  3. Step 3: Cross multiply
    141,494.34x = 212,214.42 × 54,940.21
  4. Step 4: Simplify right side
    141,494.34x = 11,659,104,799.83
  5. Step 5: Solve for x
    x = 11,659,104,799.83/141,494.34
  6. Step 6: Final answer
    x = 82,399.80

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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.