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Finding the Fourth Proportional to 222,256.34, 306,713.80 and 120,281.84

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Solution

The fourth proportional to 222,256.34, 306,713.80 and 120,281.84 is: 165,988.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,256.34 : 306,713.80 = 120,281.84 : x
  2. Step 2: Convert to fraction form
    222,256.34/306,713.80 = 120,281.84/x
  3. Step 3: Cross multiply
    222,256.34x = 306,713.80 × 120,281.84
  4. Step 4: Simplify right side
    222,256.34x = 36,892,100,217.39
  5. Step 5: Solve for x
    x = 36,892,100,217.39/222,256.34
  6. Step 6: Final answer
    x = 165,988.97

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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.