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Finding the Fourth Proportional to 200,193.28, 275,949.12 and 157,684.48

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Solution

The fourth proportional to 200,193.28, 275,949.12 and 157,684.48 is: 217,354.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,193.28 : 275,949.12 = 157,684.48 : x
  2. Step 2: Convert to fraction form
    200,193.28/275,949.12 = 157,684.48/x
  3. Step 3: Cross multiply
    200,193.28x = 275,949.12 × 157,684.48
  4. Step 4: Simplify right side
    200,193.28x = 43,512,893,493.66
  5. Step 5: Solve for x
    x = 43,512,893,493.66/200,193.28
  6. Step 6: Final answer
    x = 217,354.42

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1.5x scale

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.