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Finding the Fourth Proportional to 114,998.54, 172,272.42 and 75,435.71

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Solution

The fourth proportional to 114,998.54, 172,272.42 and 75,435.71 is: 113,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,998.54 : 172,272.42 = 75,435.71 : x
  2. Step 2: Convert to fraction form
    114,998.54/172,272.42 = 75,435.71/x
  3. Step 3: Cross multiply
    114,998.54x = 172,272.42 × 75,435.71
  4. Step 4: Simplify right side
    114,998.54x = 12,995,491,454.76
  5. Step 5: Solve for x
    x = 12,995,491,454.76/114,998.54
  6. Step 6: Final answer
    x = 113,005.71

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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.