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Finding the Fourth Proportional to 206,246.80, 308,851.80 and 164,774.80

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Solution

The fourth proportional to 206,246.80, 308,851.80 and 164,774.80 is: 246,748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,246.80 : 308,851.80 = 164,774.80 : x
  2. Step 2: Convert to fraction form
    206,246.80/308,851.80 = 164,774.80/x
  3. Step 3: Cross multiply
    206,246.80x = 308,851.80 × 164,774.80
  4. Step 4: Simplify right side
    206,246.80x = 50,890,993,574.64
  5. Step 5: Solve for x
    x = 50,890,993,574.64/206,246.80
  6. Step 6: Final answer
    x = 246,748.04

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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.