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Finding the Fourth Proportional to 221,923.50, 332,969.10 and 133,238.88

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Solution

The fourth proportional to 221,923.50, 332,969.10 and 133,238.88 is: 199,908.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,923.50 : 332,969.10 = 133,238.88 : x
  2. Step 2: Convert to fraction form
    221,923.50/332,969.10 = 133,238.88/x
  3. Step 3: Cross multiply
    221,923.50x = 332,969.10 × 133,238.88
  4. Step 4: Simplify right side
    221,923.50x = 44,364,429,958.61
  5. Step 5: Solve for x
    x = 44,364,429,958.61/221,923.50
  6. Step 6: Final answer
    x = 199,908.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.