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Finding the Fourth Proportional to 221,458.13, 305,612.21 and 120,856.13

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Solution

The fourth proportional to 221,458.13, 305,612.21 and 120,856.13 is: 166,781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,458.13 : 305,612.21 = 120,856.13 : x
  2. Step 2: Convert to fraction form
    221,458.13/305,612.21 = 120,856.13/x
  3. Step 3: Cross multiply
    221,458.13x = 305,612.21 × 120,856.13
  4. Step 4: Simplify right side
    221,458.13x = 36,935,107,755.43
  5. Step 5: Solve for x
    x = 36,935,107,755.43/221,458.13
  6. Step 6: Final answer
    x = 166,781.45

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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.