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Finding the Fourth Proportional to 222,364.68, 332,896.38 and 137,869.93

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Solution

The fourth proportional to 222,364.68, 332,896.38 and 137,869.93 is: 206,401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,364.68 : 332,896.38 = 137,869.93 : x
  2. Step 2: Convert to fraction form
    222,364.68/332,896.38 = 137,869.93/x
  3. Step 3: Cross multiply
    222,364.68x = 332,896.38 × 137,869.93
  4. Step 4: Simplify right side
    222,364.68x = 45,896,401,282.48
  5. Step 5: Solve for x
    x = 45,896,401,282.48/222,364.68
  6. Step 6: Final answer
    x = 206,401.49

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Why These Related Problems?

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