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Finding the Fourth Proportional to 120,442.46, 166,197.12 and 66,714.14

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Solution

The fourth proportional to 120,442.46, 166,197.12 and 66,714.14 is: 92,058.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,442.46 : 166,197.12 = 66,714.14 : x
  2. Step 2: Convert to fraction form
    120,442.46/166,197.12 = 66,714.14/x
  3. Step 3: Cross multiply
    120,442.46x = 166,197.12 × 66,714.14
  4. Step 4: Simplify right side
    120,442.46x = 11,087,697,100.29
  5. Step 5: Solve for x
    x = 11,087,697,100.29/120,442.46
  6. Step 6: Final answer
    x = 92,058.05

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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.