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Finding the Fourth Proportional to 126,516.15, 189,797.31 and 42,268.32

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Solution

The fourth proportional to 126,516.15, 189,797.31 and 42,268.32 is: 63,410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,516.15 : 189,797.31 = 42,268.32 : x
  2. Step 2: Convert to fraction form
    126,516.15/189,797.31 = 42,268.32/x
  3. Step 3: Cross multiply
    126,516.15x = 189,797.31 × 42,268.32
  4. Step 4: Simplify right side
    126,516.15x = 8,022,413,434.22
  5. Step 5: Solve for x
    x = 8,022,413,434.22/126,516.15
  6. Step 6: Final answer
    x = 63,410.19

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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.