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Finding the Fourth Proportional to 241,361.52, 361,965.48 and 101,094

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Solution

The fourth proportional to 241,361.52, 361,965.48 and 101,094 is: 151,608.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,361.52 : 361,965.48 = 101,094 : x
  2. Step 2: Convert to fraction form
    241,361.52/361,965.48 = 101,094/x
  3. Step 3: Cross multiply
    241,361.52x = 361,965.48 × 101,094
  4. Step 4: Simplify right side
    241,361.52x = 36,592,538,235.12
  5. Step 5: Solve for x
    x = 36,592,538,235.12/241,361.52
  6. Step 6: Final answer
    x = 151,608.83

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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.