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Finding the Fourth Proportional to 194,321.36, 291,489.72 and 54,092.24

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Solution

The fourth proportional to 194,321.36, 291,489.72 and 54,092.24 is: 81,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,321.36 : 291,489.72 = 54,092.24 : x
  2. Step 2: Convert to fraction form
    194,321.36/291,489.72 = 54,092.24/x
  3. Step 3: Cross multiply
    194,321.36x = 291,489.72 × 54,092.24
  4. Step 4: Simplify right side
    194,321.36x = 15,767,331,891.77
  5. Step 5: Solve for x
    x = 15,767,331,891.77/194,321.36
  6. Step 6: Final answer
    x = 81,140.50

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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.