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Finding the Fourth Proportional to 194,098.26, 291,147.52 and 53,857.02

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Solution

The fourth proportional to 194,098.26, 291,147.52 and 53,857.02 is: 80,785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,098.26 : 291,147.52 = 53,857.02 : x
  2. Step 2: Convert to fraction form
    194,098.26/291,147.52 = 53,857.02/x
  3. Step 3: Cross multiply
    194,098.26x = 291,147.52 × 53,857.02
  4. Step 4: Simplify right side
    194,098.26x = 15,680,337,807.59
  5. Step 5: Solve for x
    x = 15,680,337,807.59/194,098.26
  6. Step 6: Final answer
    x = 80,785.57

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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.