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Finding the Fourth Proportional to 222,232, 306,677.82 and 120,255.23

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Solution

The fourth proportional to 222,232, 306,677.82 and 120,255.23 is: 165,950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,232 : 306,677.82 = 120,255.23 : x
  2. Step 2: Convert to fraction form
    222,232/306,677.82 = 120,255.23/x
  3. Step 3: Cross multiply
    222,232x = 306,677.82 × 120,255.23
  4. Step 4: Simplify right side
    222,232x = 36,879,611,780.00
  5. Step 5: Solve for x
    x = 36,879,611,780.00/222,232
  6. Step 6: Final answer
    x = 165,950.95

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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.