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Finding the Fourth Proportional to 206,801.20, 310,201.80 and 57,064.60

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Solution

The fourth proportional to 206,801.20, 310,201.80 and 57,064.60 is: 85,596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,801.20 : 310,201.80 = 57,064.60 : x
  2. Step 2: Convert to fraction form
    206,801.20/310,201.80 = 57,064.60/x
  3. Step 3: Cross multiply
    206,801.20x = 310,201.80 × 57,064.60
  4. Step 4: Simplify right side
    206,801.20x = 17,701,541,636.28
  5. Step 5: Solve for x
    x = 17,701,541,636.28/206,801.20
  6. Step 6: Final answer
    x = 85,596.90

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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.