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Finding the Fourth Proportional to 222,586.84, 306,991.12 and 195,672.28

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Solution

The fourth proportional to 222,586.84, 306,991.12 and 195,672.28 is: 269,870.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,586.84 : 306,991.12 = 195,672.28 : x
  2. Step 2: Convert to fraction form
    222,586.84/306,991.12 = 195,672.28/x
  3. Step 3: Cross multiply
    222,586.84x = 306,991.12 × 195,672.28
  4. Step 4: Simplify right side
    222,586.84x = 60,069,652,390.15
  5. Step 5: Solve for x
    x = 60,069,652,390.15/222,586.84
  6. Step 6: Final answer
    x = 269,870.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.