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Finding the Fourth Proportional to 222,178.32, 306,604.80 and 120,203.52

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Solution

The fourth proportional to 222,178.32, 306,604.80 and 120,203.52 is: 165,880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,178.32 : 306,604.80 = 120,203.52 : x
  2. Step 2: Convert to fraction form
    222,178.32/306,604.80 = 120,203.52/x
  3. Step 3: Cross multiply
    222,178.32x = 306,604.80 × 120,203.52
  4. Step 4: Simplify right side
    222,178.32x = 36,854,976,208.90
  5. Step 5: Solve for x
    x = 36,854,976,208.90/222,178.32
  6. Step 6: Final answer
    x = 165,880.16

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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.