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Finding the Fourth Proportional to 137,188.59, 189,309.47 and 76,754.49

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Solution

The fourth proportional to 137,188.59, 189,309.47 and 76,754.49 is: 105,915.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,188.59 : 189,309.47 = 76,754.49 : x
  2. Step 2: Convert to fraction form
    137,188.59/189,309.47 = 76,754.49/x
  3. Step 3: Cross multiply
    137,188.59x = 189,309.47 × 76,754.49
  4. Step 4: Simplify right side
    137,188.59x = 14,530,351,438.25
  5. Step 5: Solve for x
    x = 14,530,351,438.25/137,188.59
  6. Step 6: Final answer
    x = 105,915.16

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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.