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Finding the Fourth Proportional to 180,854.84, 271,262.99 and 74,249.97

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Solution

The fourth proportional to 180,854.84, 271,262.99 and 74,249.97 is: 111,367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,854.84 : 271,262.99 = 74,249.97 : x
  2. Step 2: Convert to fraction form
    180,854.84/271,262.99 = 74,249.97/x
  3. Step 3: Cross multiply
    180,854.84x = 271,262.99 × 74,249.97
  4. Step 4: Simplify right side
    180,854.84x = 20,141,268,038.00
  5. Step 5: Solve for x
    x = 20,141,268,038.00/180,854.84
  6. Step 6: Final answer
    x = 111,367.04

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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.