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Finding the Fourth Proportional to 221,278.20, 305,359.32 and 120,676.20

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Solution

The fourth proportional to 221,278.20, 305,359.32 and 120,676.20 is: 166,530.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,278.20 : 305,359.32 = 120,676.20 : x
  2. Step 2: Convert to fraction form
    221,278.20/305,359.32 = 120,676.20/x
  3. Step 3: Cross multiply
    221,278.20x = 305,359.32 × 120,676.20
  4. Step 4: Simplify right side
    221,278.20x = 36,849,602,372.18
  5. Step 5: Solve for x
    x = 36,849,602,372.18/221,278.20
  6. Step 6: Final answer
    x = 166,530.65

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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.