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Finding the Fourth Proportional to 137,138.52, 189,268.66 and 76,712.52

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Solution

The fourth proportional to 137,138.52, 189,268.66 and 76,712.52 is: 105,873.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,138.52 : 189,268.66 = 76,712.52 : x
  2. Step 2: Convert to fraction form
    137,138.52/189,268.66 = 76,712.52/x
  3. Step 3: Cross multiply
    137,138.52x = 189,268.66 × 76,712.52
  4. Step 4: Simplify right side
    137,138.52x = 14,519,275,865.62
  5. Step 5: Solve for x
    x = 14,519,275,865.62/137,138.52
  6. Step 6: Final answer
    x = 105,873.07

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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.