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Finding the Fourth Proportional to 269,761.72, 404,722.78 and 119,981.32

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Solution

The fourth proportional to 269,761.72, 404,722.78 and 119,981.32 is: 180,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,761.72 : 404,722.78 = 119,981.32 : x
  2. Step 2: Convert to fraction form
    269,761.72/404,722.78 = 119,981.32/x
  3. Step 3: Cross multiply
    269,761.72x = 404,722.78 × 119,981.32
  4. Step 4: Simplify right side
    269,761.72x = 48,559,173,378.47
  5. Step 5: Solve for x
    x = 48,559,173,378.47/269,761.72
  6. Step 6: Final answer
    x = 180,007.65

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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.