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Finding the Fourth Proportional to 241,376.80, 362,194.80 and 101,149.60

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Solution

The fourth proportional to 241,376.80, 362,194.80 and 101,149.60 is: 151,778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,376.80 : 362,194.80 = 101,149.60 : x
  2. Step 2: Convert to fraction form
    241,376.80/362,194.80 = 101,149.60/x
  3. Step 3: Cross multiply
    241,376.80x = 362,194.80 × 101,149.60
  4. Step 4: Simplify right side
    241,376.80x = 36,635,859,142.08
  5. Step 5: Solve for x
    x = 36,635,859,142.08/241,376.80
  6. Step 6: Final answer
    x = 151,778.71

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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.