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Finding the Fourth Proportional to 180,799.27, 271,111.19 and 54,415.87

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Solution

The fourth proportional to 180,799.27, 271,111.19 and 54,415.87 is: 81,597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,799.27 : 271,111.19 = 54,415.87 : x
  2. Step 2: Convert to fraction form
    180,799.27/271,111.19 = 54,415.87/x
  3. Step 3: Cross multiply
    180,799.27x = 271,111.19 × 54,415.87
  4. Step 4: Simplify right side
    180,799.27x = 14,752,750,320.73
  5. Step 5: Solve for x
    x = 14,752,750,320.73/180,799.27
  6. Step 6: Final answer
    x = 81,597.40

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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.