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Finding the Fourth Proportional to 221,462.98, 305,614.65 and 120,861.70

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Solution

The fourth proportional to 221,462.98, 305,614.65 and 120,861.70 is: 166,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,462.98 : 305,614.65 = 120,861.70 : x
  2. Step 2: Convert to fraction form
    221,462.98/305,614.65 = 120,861.70/x
  3. Step 3: Cross multiply
    221,462.98x = 305,614.65 × 120,861.70
  4. Step 4: Simplify right side
    221,462.98x = 36,937,106,143.91
  5. Step 5: Solve for x
    x = 36,937,106,143.91/221,462.98
  6. Step 6: Final answer
    x = 166,786.82

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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.