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Finding the Fourth Proportional to 137,630, 189,932.28 and 78,014

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Solution

The fourth proportional to 137,630, 189,932.28 and 78,014 is: 107,660.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,630 : 189,932.28 = 78,014 : x
  2. Step 2: Convert to fraction form
    137,630/189,932.28 = 78,014/x
  3. Step 3: Cross multiply
    137,630x = 189,932.28 × 78,014
  4. Step 4: Simplify right side
    137,630x = 14,817,376,891.92
  5. Step 5: Solve for x
    x = 14,817,376,891.92/137,630
  6. Step 6: Final answer
    x = 107,660.95

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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.