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Finding the Fourth Proportional to 205,310.40, 307,965.60 and 142,324.80

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Solution

The fourth proportional to 205,310.40, 307,965.60 and 142,324.80 is: 213,487.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,310.40 : 307,965.60 = 142,324.80 : x
  2. Step 2: Convert to fraction form
    205,310.40/307,965.60 = 142,324.80/x
  3. Step 3: Cross multiply
    205,310.40x = 307,965.60 × 142,324.80
  4. Step 4: Simplify right side
    205,310.40x = 43,831,142,426.88
  5. Step 5: Solve for x
    x = 43,831,142,426.88/205,310.40
  6. Step 6: Final answer
    x = 213,487.20

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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.