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Finding the Fourth Proportional to 206,912.42, 310,201.14 and 64,684.47

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Solution

The fourth proportional to 206,912.42, 310,201.14 and 64,684.47 is: 96,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,912.42 : 310,201.14 = 64,684.47 : x
  2. Step 2: Convert to fraction form
    206,912.42/310,201.14 = 64,684.47/x
  3. Step 3: Cross multiply
    206,912.42x = 310,201.14 × 64,684.47
  4. Step 4: Simplify right side
    206,912.42x = 20,065,196,010.87
  5. Step 5: Solve for x
    x = 20,065,196,010.87/206,912.42
  6. Step 6: Final answer
    x = 96,974.34

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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.