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Finding the Fourth Proportional to 254,044.26, 350,531.42 and 150,659.30

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Solution

The fourth proportional to 254,044.26, 350,531.42 and 150,659.30 is: 207,880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,044.26 : 350,531.42 = 150,659.30 : x
  2. Step 2: Convert to fraction form
    254,044.26/350,531.42 = 150,659.30/x
  3. Step 3: Cross multiply
    254,044.26x = 350,531.42 × 150,659.30
  4. Step 4: Simplify right side
    254,044.26x = 52,810,818,365.21
  5. Step 5: Solve for x
    x = 52,810,818,365.21/254,044.26
  6. Step 6: Final answer
    x = 207,880.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.