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Finding the Fourth Proportional to 205,274.88, 283,439.52 and 157,452.48

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Solution

The fourth proportional to 205,274.88, 283,439.52 and 157,452.48 is: 217,407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,274.88 : 283,439.52 = 157,452.48 : x
  2. Step 2: Convert to fraction form
    205,274.88/283,439.52 = 157,452.48/x
  3. Step 3: Cross multiply
    205,274.88x = 283,439.52 × 157,452.48
  4. Step 4: Simplify right side
    205,274.88x = 44,628,255,354.01
  5. Step 5: Solve for x
    x = 44,628,255,354.01/205,274.88
  6. Step 6: Final answer
    x = 217,407.29

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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.