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Finding the Fourth Proportional to 191,201.14, 263,858.21 and 106,318

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Solution

The fourth proportional to 191,201.14, 263,858.21 and 106,318 is: 146,719.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,201.14 : 263,858.21 = 106,318 : x
  2. Step 2: Convert to fraction form
    191,201.14/263,858.21 = 106,318/x
  3. Step 3: Cross multiply
    191,201.14x = 263,858.21 × 106,318
  4. Step 4: Simplify right side
    191,201.14x = 28,052,877,170.78
  5. Step 5: Solve for x
    x = 28,052,877,170.78/191,201.14
  6. Step 6: Final answer
    x = 146,719.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.