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Finding the Fourth Proportional to 180,794.90, 270,933.15 and 133,037.30

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Solution

The fourth proportional to 180,794.90, 270,933.15 and 133,037.30 is: 199,365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,794.90 : 270,933.15 = 133,037.30 : x
  2. Step 2: Convert to fraction form
    180,794.90/270,933.15 = 133,037.30/x
  3. Step 3: Cross multiply
    180,794.90x = 270,933.15 × 133,037.30
  4. Step 4: Simplify right side
    180,794.90x = 36,044,214,756.50
  5. Step 5: Solve for x
    x = 36,044,214,756.50/180,794.90
  6. Step 6: Final answer
    x = 199,365.22

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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.