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Finding the Fourth Proportional to 180,392.67, 270,509.01 and 96,137.13

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Solution

The fourth proportional to 180,392.67, 270,509.01 and 96,137.13 is: 144,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,392.67 : 270,509.01 = 96,137.13 : x
  2. Step 2: Convert to fraction form
    180,392.67/270,509.01 = 96,137.13/x
  3. Step 3: Cross multiply
    180,392.67x = 270,509.01 × 96,137.13
  4. Step 4: Simplify right side
    180,392.67x = 26,005,958,508.00
  5. Step 5: Solve for x
    x = 26,005,958,508.00/180,392.67
  6. Step 6: Final answer
    x = 144,163.06

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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.