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Finding the Fourth Proportional to 180,889.92, 271,347.59 and 54,531.23

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Solution

The fourth proportional to 180,889.92, 271,347.59 and 54,531.23 is: 81,800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,889.92 : 271,347.59 = 54,531.23 : x
  2. Step 2: Convert to fraction form
    180,889.92/271,347.59 = 54,531.23/x
  3. Step 3: Cross multiply
    180,889.92x = 271,347.59 × 54,531.23
  4. Step 4: Simplify right side
    180,889.92x = 14,796,918,245.95
  5. Step 5: Solve for x
    x = 14,796,918,245.95/180,889.92
  6. Step 6: Final answer
    x = 81,800.68

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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.