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Finding the Fourth Proportional to 102,709.32, 141,739.80 and 60,268.56

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Solution

The fourth proportional to 102,709.32, 141,739.80 and 60,268.56 is: 83,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,709.32 : 141,739.80 = 60,268.56 : x
  2. Step 2: Convert to fraction form
    102,709.32/141,739.80 = 60,268.56/x
  3. Step 3: Cross multiply
    102,709.32x = 141,739.80 × 60,268.56
  4. Step 4: Simplify right side
    102,709.32x = 8,542,453,640.69
  5. Step 5: Solve for x
    x = 8,542,453,640.69/102,709.32
  6. Step 6: Final answer
    x = 83,171.16

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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.