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Finding the Fourth Proportional to 137,545.31, 189,813.06 and 80,224.22

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Solution

The fourth proportional to 137,545.31, 189,813.06 and 80,224.22 is: 110,709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,545.31 : 189,813.06 = 80,224.22 : x
  2. Step 2: Convert to fraction form
    137,545.31/189,813.06 = 80,224.22/x
  3. Step 3: Cross multiply
    137,545.31x = 189,813.06 × 80,224.22
  4. Step 4: Simplify right side
    137,545.31x = 15,227,605,158.85
  5. Step 5: Solve for x
    x = 15,227,605,158.85/137,545.31
  6. Step 6: Final answer
    x = 110,709.74

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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.