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Finding the Fourth Proportional to 222,157.34, 306,575.70 and 120,182.40

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Solution

The fourth proportional to 222,157.34, 306,575.70 and 120,182.40 is: 165,850.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,157.34 : 306,575.70 = 120,182.40 : x
  2. Step 2: Convert to fraction form
    222,157.34/306,575.70 = 120,182.40/x
  3. Step 3: Cross multiply
    222,157.34x = 306,575.70 × 120,182.40
  4. Step 4: Simplify right side
    222,157.34x = 36,845,003,407.68
  5. Step 5: Solve for x
    x = 36,845,003,407.68/222,157.34
  6. Step 6: Final answer
    x = 165,850.94

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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.