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Finding the Fourth Proportional to 265,187.94, 397,721.16 and 75,644.70

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Solution

The fourth proportional to 265,187.94, 397,721.16 and 75,644.70 is: 113,449.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,187.94 : 397,721.16 = 75,644.70 : x
  2. Step 2: Convert to fraction form
    265,187.94/397,721.16 = 75,644.70/x
  3. Step 3: Cross multiply
    265,187.94x = 397,721.16 × 75,644.70
  4. Step 4: Simplify right side
    265,187.94x = 30,085,497,831.85
  5. Step 5: Solve for x
    x = 30,085,497,831.85/265,187.94
  6. Step 6: Final answer
    x = 113,449.72

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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.