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Finding the Fourth Proportional to 222,254.34, 306,708.62 and 120,277.58

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Solution

The fourth proportional to 222,254.34, 306,708.62 and 120,277.58 is: 165,981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,254.34 : 306,708.62 = 120,277.58 : x
  2. Step 2: Convert to fraction form
    222,254.34/306,708.62 = 120,277.58/x
  3. Step 3: Cross multiply
    222,254.34x = 306,708.62 × 120,277.58
  4. Step 4: Simplify right side
    222,254.34x = 36,890,170,578.74
  5. Step 5: Solve for x
    x = 36,890,170,578.74/222,254.34
  6. Step 6: Final answer
    x = 165,981.78

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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.