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Finding the Fourth Proportional to 133,181.92, 199,735.42 and 37,097.29

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Solution

The fourth proportional to 133,181.92, 199,735.42 and 37,097.29 is: 55,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,181.92 : 199,735.42 = 37,097.29 : x
  2. Step 2: Convert to fraction form
    133,181.92/199,735.42 = 37,097.29/x
  3. Step 3: Cross multiply
    133,181.92x = 199,735.42 × 37,097.29
  4. Step 4: Simplify right side
    133,181.92x = 7,409,643,025.50
  5. Step 5: Solve for x
    x = 7,409,643,025.50/133,181.92
  6. Step 6: Final answer
    x = 55,635.50

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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.