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Finding the Fourth Proportional to 120,886.14, 166,753.34 and 75,485.30

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Solution

The fourth proportional to 120,886.14, 166,753.34 and 75,485.30 is: 104,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,886.14 : 166,753.34 = 75,485.30 : x
  2. Step 2: Convert to fraction form
    120,886.14/166,753.34 = 75,485.30/x
  3. Step 3: Cross multiply
    120,886.14x = 166,753.34 × 75,485.30
  4. Step 4: Simplify right side
    120,886.14x = 12,587,425,895.90
  5. Step 5: Solve for x
    x = 12,587,425,895.90/120,886.14
  6. Step 6: Final answer
    x = 104,126.30

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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.