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Finding the Fourth Proportional to 205,645.43, 283,823.09 and 125,098.22

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Solution

The fourth proportional to 205,645.43, 283,823.09 and 125,098.22 is: 172,655.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,645.43 : 283,823.09 = 125,098.22 : x
  2. Step 2: Convert to fraction form
    205,645.43/283,823.09 = 125,098.22/x
  3. Step 3: Cross multiply
    205,645.43x = 283,823.09 × 125,098.22
  4. Step 4: Simplify right side
    205,645.43x = 35,505,763,907.08
  5. Step 5: Solve for x
    x = 35,505,763,907.08/205,645.43
  6. Step 6: Final answer
    x = 172,655.25

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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.