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Finding the Fourth Proportional to 120,019, 165,624.26 and 66,306.28

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Solution

The fourth proportional to 120,019, 165,624.26 and 66,306.28 is: 91,501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,019 : 165,624.26 = 66,306.28 : x
  2. Step 2: Convert to fraction form
    120,019/165,624.26 = 66,306.28/x
  3. Step 3: Cross multiply
    120,019x = 165,624.26 × 66,306.28
  4. Step 4: Simplify right side
    120,019x = 10,981,928,558.35
  5. Step 5: Solve for x
    x = 10,981,928,558.35/120,019
  6. Step 6: Final answer
    x = 91,501.58

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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.