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Finding the Fourth Proportional to 180,392.54, 270,508.82 and 96,137

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Solution

The fourth proportional to 180,392.54, 270,508.82 and 96,137 is: 144,162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,392.54 : 270,508.82 = 96,137 : x
  2. Step 2: Convert to fraction form
    180,392.54/270,508.82 = 96,137/x
  3. Step 3: Cross multiply
    180,392.54x = 270,508.82 × 96,137
  4. Step 4: Simplify right side
    180,392.54x = 26,005,906,428.34
  5. Step 5: Solve for x
    x = 26,005,906,428.34/180,392.54
  6. Step 6: Final answer
    x = 144,162.87

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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.