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Finding the Fourth Proportional to 180,200.40, 270,435.24 and 67,991.28

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Solution

The fourth proportional to 180,200.40, 270,435.24 and 67,991.28 is: 102,037.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,200.40 : 270,435.24 = 67,991.28 : x
  2. Step 2: Convert to fraction form
    180,200.40/270,435.24 = 67,991.28/x
  3. Step 3: Cross multiply
    180,200.40x = 270,435.24 × 67,991.28
  4. Step 4: Simplify right side
    180,200.40x = 18,387,238,124.71
  5. Step 5: Solve for x
    x = 18,387,238,124.71/180,200.40
  6. Step 6: Final answer
    x = 102,037.72

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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.