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Finding the Fourth Proportional to 133,310.40, 199,965.60 and 120,188.40

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Solution

The fourth proportional to 133,310.40, 199,965.60 and 120,188.40 is: 180,282.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,310.40 : 199,965.60 = 120,188.40 : x
  2. Step 2: Convert to fraction form
    133,310.40/199,965.60 = 120,188.40/x
  3. Step 3: Cross multiply
    133,310.40x = 199,965.60 × 120,188.40
  4. Step 4: Simplify right side
    133,310.40x = 24,033,545,519.04
  5. Step 5: Solve for x
    x = 24,033,545,519.04/133,310.40
  6. Step 6: Final answer
    x = 180,282.60

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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.