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Finding the Fourth Proportional to 180,887.62, 271,494.05 and 96,719.73

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Solution

The fourth proportional to 180,887.62, 271,494.05 and 96,719.73 is: 145,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,887.62 : 271,494.05 = 96,719.73 : x
  2. Step 2: Convert to fraction form
    180,887.62/271,494.05 = 96,719.73/x
  3. Step 3: Cross multiply
    180,887.62x = 271,494.05 × 96,719.73
  4. Step 4: Simplify right side
    180,887.62x = 26,258,832,282.91
  5. Step 5: Solve for x
    x = 26,258,832,282.91/180,887.62
  6. Step 6: Final answer
    x = 145,166.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.