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Finding the Fourth Proportional to 107,346.60, 161,019.90 and 82,434.60

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Solution

The fourth proportional to 107,346.60, 161,019.90 and 82,434.60 is: 123,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,346.60 : 161,019.90 = 82,434.60 : x
  2. Step 2: Convert to fraction form
    107,346.60/161,019.90 = 82,434.60/x
  3. Step 3: Cross multiply
    107,346.60x = 161,019.90 × 82,434.60
  4. Step 4: Simplify right side
    107,346.60x = 13,273,611,048.54
  5. Step 5: Solve for x
    x = 13,273,611,048.54/107,346.60
  6. Step 6: Final answer
    x = 123,651.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.