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Finding the Fourth Proportional to 120,306.34, 166,019.01 and 69,319.17

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Solution

The fourth proportional to 120,306.34, 166,019.01 and 69,319.17 is: 95,658.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,306.34 : 166,019.01 = 69,319.17 : x
  2. Step 2: Convert to fraction form
    120,306.34/166,019.01 = 69,319.17/x
  3. Step 3: Cross multiply
    120,306.34x = 166,019.01 × 69,319.17
  4. Step 4: Simplify right side
    120,306.34x = 11,508,299,977.42
  5. Step 5: Solve for x
    x = 11,508,299,977.42/120,306.34
  6. Step 6: Final answer
    x = 95,658.30

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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.