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Finding the Fourth Proportional to 194,098.50, 291,147.89 and 53,857.26

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Solution

The fourth proportional to 194,098.50, 291,147.89 and 53,857.26 is: 80,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,098.50 : 291,147.89 = 53,857.26 : x
  2. Step 2: Convert to fraction form
    194,098.50/291,147.89 = 53,857.26/x
  3. Step 3: Cross multiply
    194,098.50x = 291,147.89 × 53,857.26
  4. Step 4: Simplify right side
    194,098.50x = 15,680,427,340.90
  5. Step 5: Solve for x
    x = 15,680,427,340.90/194,098.50
  6. Step 6: Final answer
    x = 80,785.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.