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Finding the Fourth Proportional to 265,147.92, 397,721.88 and 75,612.24

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Solution

The fourth proportional to 265,147.92, 397,721.88 and 75,612.24 is: 113,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,147.92 : 397,721.88 = 75,612.24 : x
  2. Step 2: Convert to fraction form
    265,147.92/397,721.88 = 75,612.24/x
  3. Step 3: Cross multiply
    265,147.92x = 397,721.88 × 75,612.24
  4. Step 4: Simplify right side
    265,147.92x = 30,072,642,243.81
  5. Step 5: Solve for x
    x = 30,072,642,243.81/265,147.92
  6. Step 6: Final answer
    x = 113,418.36

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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.