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Finding the Fourth Proportional to 221,545.32, 305,727.78 and 120,945

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Solution

The fourth proportional to 221,545.32, 305,727.78 and 120,945 is: 166,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,545.32 : 305,727.78 = 120,945 : x
  2. Step 2: Convert to fraction form
    221,545.32/305,727.78 = 120,945/x
  3. Step 3: Cross multiply
    221,545.32x = 305,727.78 × 120,945
  4. Step 4: Simplify right side
    221,545.32x = 36,976,246,352.10
  5. Step 5: Solve for x
    x = 36,976,246,352.10/221,545.32
  6. Step 6: Final answer
    x = 166,901.50

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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.