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Finding the Fourth Proportional to 181,007.40, 271,511.10 and 75,815.40

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Solution

The fourth proportional to 181,007.40, 271,511.10 and 75,815.40 is: 113,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,007.40 : 271,511.10 = 75,815.40 : x
  2. Step 2: Convert to fraction form
    181,007.40/271,511.10 = 75,815.40/x
  3. Step 3: Cross multiply
    181,007.40x = 271,511.10 × 75,815.40
  4. Step 4: Simplify right side
    181,007.40x = 20,584,722,650.94
  5. Step 5: Solve for x
    x = 20,584,722,650.94/181,007.40
  6. Step 6: Final answer
    x = 113,723.10

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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.