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Finding the Fourth Proportional to 254,887.98, 382,394.86 and 126,865.26

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Solution

The fourth proportional to 254,887.98, 382,394.86 and 126,865.26 is: 190,329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,887.98 : 382,394.86 = 126,865.26 : x
  2. Step 2: Convert to fraction form
    254,887.98/382,394.86 = 126,865.26/x
  3. Step 3: Cross multiply
    254,887.98x = 382,394.86 × 126,865.26
  4. Step 4: Simplify right side
    254,887.98x = 48,512,623,336.56
  5. Step 5: Solve for x
    x = 48,512,623,336.56/254,887.98
  6. Step 6: Final answer
    x = 190,329.19

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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.