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Finding the Fourth Proportional to 137,275, 189,442.70 and 76,844.12

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Solution

The fourth proportional to 137,275, 189,442.70 and 76,844.12 is: 106,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,275 : 189,442.70 = 76,844.12 : x
  2. Step 2: Convert to fraction form
    137,275/189,442.70 = 76,844.12/x
  3. Step 3: Cross multiply
    137,275x = 189,442.70 × 76,844.12
  4. Step 4: Simplify right side
    137,275x = 14,557,557,571.92
  5. Step 5: Solve for x
    x = 14,557,557,571.92/137,275
  6. Step 6: Final answer
    x = 106,046.68

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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.