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Finding the Fourth Proportional to 254,796.52, 382,193.34 and 65,256.52

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Solution

The fourth proportional to 254,796.52, 382,193.34 and 65,256.52 is: 97,884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,796.52 : 382,193.34 = 65,256.52 : x
  2. Step 2: Convert to fraction form
    254,796.52/382,193.34 = 65,256.52/x
  3. Step 3: Cross multiply
    254,796.52x = 382,193.34 × 65,256.52
  4. Step 4: Simplify right side
    254,796.52x = 24,940,607,335.58
  5. Step 5: Solve for x
    x = 24,940,607,335.58/254,796.52
  6. Step 6: Final answer
    x = 97,884.41

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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.