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Finding the Fourth Proportional to 194,663.88, 291,996.09 and 54,422.37

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Solution

The fourth proportional to 194,663.88, 291,996.09 and 54,422.37 is: 81,633.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,663.88 : 291,996.09 = 54,422.37 : x
  2. Step 2: Convert to fraction form
    194,663.88/291,996.09 = 54,422.37/x
  3. Step 3: Cross multiply
    194,663.88x = 291,996.09 × 54,422.37
  4. Step 4: Simplify right side
    194,663.88x = 15,891,119,248.53
  5. Step 5: Solve for x
    x = 15,891,119,248.53/194,663.88
  6. Step 6: Final answer
    x = 81,633.63

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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.