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Finding the Fourth Proportional to 272,253.69, 408,380.94 and 106,041.69

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Solution

The fourth proportional to 272,253.69, 408,380.94 and 106,041.69 is: 159,062.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,253.69 : 408,380.94 = 106,041.69 : x
  2. Step 2: Convert to fraction form
    272,253.69/408,380.94 = 106,041.69/x
  3. Step 3: Cross multiply
    272,253.69x = 408,380.94 × 106,041.69
  4. Step 4: Simplify right side
    272,253.69x = 43,305,405,041.39
  5. Step 5: Solve for x
    x = 43,305,405,041.39/272,253.69
  6. Step 6: Final answer
    x = 159,062.69

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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.