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Finding the Fourth Proportional to 180,553.91, 270,875.84 and 54,196.49

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Solution

The fourth proportional to 180,553.91, 270,875.84 and 54,196.49 is: 81,308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,553.91 : 270,875.84 = 54,196.49 : x
  2. Step 2: Convert to fraction form
    180,553.91/270,875.84 = 54,196.49/x
  3. Step 3: Cross multiply
    180,553.91x = 270,875.84 × 54,196.49
  4. Step 4: Simplify right side
    180,553.91x = 14,680,520,160.01
  5. Step 5: Solve for x
    x = 14,680,520,160.01/180,553.91
  6. Step 6: Final answer
    x = 81,308.24

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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.