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Finding the Fourth Proportional to 222,414.88, 305,937.12 and 195,056.32

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Solution

The fourth proportional to 222,414.88, 305,937.12 and 195,056.32 is: 268,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,414.88 : 305,937.12 = 195,056.32 : x
  2. Step 2: Convert to fraction form
    222,414.88/305,937.12 = 195,056.32/x
  3. Step 3: Cross multiply
    222,414.88x = 305,937.12 × 195,056.32
  4. Step 4: Simplify right side
    222,414.88x = 59,674,968,778.60
  5. Step 5: Solve for x
    x = 59,674,968,778.60/222,414.88
  6. Step 6: Final answer
    x = 268,304.75

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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.