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Finding the Fourth Proportional to 221,510.48, 305,684.32 and 120,908.48

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Solution

The fourth proportional to 221,510.48, 305,684.32 and 120,908.48 is: 166,853.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,510.48 : 305,684.32 = 120,908.48 : x
  2. Step 2: Convert to fraction form
    221,510.48/305,684.32 = 120,908.48/x
  3. Step 3: Cross multiply
    221,510.48x = 305,684.32 × 120,908.48
  4. Step 4: Simplify right side
    221,510.48x = 36,959,826,491.03
  5. Step 5: Solve for x
    x = 36,959,826,491.03/221,510.48
  6. Step 6: Final answer
    x = 166,853.62

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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.