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Finding the Fourth Proportional to 222,013.21, 306,406.29 and 145,596.61

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Solution

The fourth proportional to 222,013.21, 306,406.29 and 145,596.61 is: 200,941.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,013.21 : 306,406.29 = 145,596.61 : x
  2. Step 2: Convert to fraction form
    222,013.21/306,406.29 = 145,596.61/x
  3. Step 3: Cross multiply
    222,013.21x = 306,406.29 × 145,596.61
  4. Step 4: Simplify right side
    222,013.21x = 44,611,717,106.68
  5. Step 5: Solve for x
    x = 44,611,717,106.68/222,013.21
  6. Step 6: Final answer
    x = 200,941.72

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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.