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Finding the Fourth Proportional to 133,546.40, 200,449.20 and 67,061.60

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Solution

The fourth proportional to 133,546.40, 200,449.20 and 67,061.60 is: 100,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,546.40 : 200,449.20 = 67,061.60 : x
  2. Step 2: Convert to fraction form
    133,546.40/200,449.20 = 67,061.60/x
  3. Step 3: Cross multiply
    133,546.40x = 200,449.20 × 67,061.60
  4. Step 4: Simplify right side
    133,546.40x = 13,442,444,070.72
  5. Step 5: Solve for x
    x = 13,442,444,070.72/133,546.40
  6. Step 6: Final answer
    x = 100,657.48

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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.