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Finding the Fourth Proportional to 222,258.34, 306,714.14 and 120,281.58

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Solution

The fourth proportional to 222,258.34, 306,714.14 and 120,281.58 is: 165,987.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,258.34 : 306,714.14 = 120,281.58 : x
  2. Step 2: Convert to fraction form
    222,258.34/306,714.14 = 120,281.58/x
  3. Step 3: Cross multiply
    222,258.34x = 306,714.14 × 120,281.58
  4. Step 4: Simplify right side
    222,258.34x = 36,892,061,367.54
  5. Step 5: Solve for x
    x = 36,892,061,367.54/222,258.34
  6. Step 6: Final answer
    x = 165,987.30

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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.