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Finding the Fourth Proportional to 265,540.68, 397,956.32 and 96,902.48

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Solution

The fourth proportional to 265,540.68, 397,956.32 and 96,902.48 is: 145,224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,540.68 : 397,956.32 = 96,902.48 : x
  2. Step 2: Convert to fraction form
    265,540.68/397,956.32 = 96,902.48/x
  3. Step 3: Cross multiply
    265,540.68x = 397,956.32 × 96,902.48
  4. Step 4: Simplify right side
    265,540.68x = 38,562,952,702.39
  5. Step 5: Solve for x
    x = 38,562,952,702.39/265,540.68
  6. Step 6: Final answer
    x = 145,224.27

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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.