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Finding the Fourth Proportional to 194,542.70, 291,814.05 and 54,301.10

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Solution

The fourth proportional to 194,542.70, 291,814.05 and 54,301.10 is: 81,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,542.70 : 291,814.05 = 54,301.10 : x
  2. Step 2: Convert to fraction form
    194,542.70/291,814.05 = 54,301.10/x
  3. Step 3: Cross multiply
    194,542.70x = 291,814.05 × 54,301.10
  4. Step 4: Simplify right side
    194,542.70x = 15,845,823,910.46
  5. Step 5: Solve for x
    x = 15,845,823,910.46/194,542.70
  6. Step 6: Final answer
    x = 81,451.65

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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.