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Finding the Fourth Proportional to 137,381.32, 189,588.14 and 80,019.14

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Solution

The fourth proportional to 137,381.32, 189,588.14 and 80,019.14 is: 110,427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,381.32 : 189,588.14 = 80,019.14 : x
  2. Step 2: Convert to fraction form
    137,381.32/189,588.14 = 80,019.14/x
  3. Step 3: Cross multiply
    137,381.32x = 189,588.14 × 80,019.14
  4. Step 4: Simplify right side
    137,381.32x = 15,170,679,917.00
  5. Step 5: Solve for x
    x = 15,170,679,917.00/137,381.32
  6. Step 6: Final answer
    x = 110,427.53

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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.