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Finding the Fourth Proportional to 137,086.20, 205,629.30 and 63,214.20

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Solution

The fourth proportional to 137,086.20, 205,629.30 and 63,214.20 is: 94,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,086.20 : 205,629.30 = 63,214.20 : x
  2. Step 2: Convert to fraction form
    137,086.20/205,629.30 = 63,214.20/x
  3. Step 3: Cross multiply
    137,086.20x = 205,629.30 × 63,214.20
  4. Step 4: Simplify right side
    137,086.20x = 12,998,691,696.06
  5. Step 5: Solve for x
    x = 12,998,691,696.06/137,086.20
  6. Step 6: Final answer
    x = 94,821.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.