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Finding the Fourth Proportional to 204,989, 282,884.88 and 115,565

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Solution

The fourth proportional to 204,989, 282,884.88 and 115,565 is: 159,479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,989 : 282,884.88 = 115,565 : x
  2. Step 2: Convert to fraction form
    204,989/282,884.88 = 115,565/x
  3. Step 3: Cross multiply
    204,989x = 282,884.88 × 115,565
  4. Step 4: Simplify right side
    204,989x = 32,691,591,157.20
  5. Step 5: Solve for x
    x = 32,691,591,157.20/204,989
  6. Step 6: Final answer
    x = 159,479.73

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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.