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Finding the Fourth Proportional to 206,817.60, 309,570.30 and 206,817.60

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Solution

The fourth proportional to 206,817.60, 309,570.30 and 206,817.60 is: 309,570.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,817.60 : 309,570.30 = 206,817.60 : x
  2. Step 2: Convert to fraction form
    206,817.60/309,570.30 = 206,817.60/x
  3. Step 3: Cross multiply
    206,817.60x = 309,570.30 × 206,817.60
  4. Step 4: Simplify right side
    206,817.60x = 64,024,586,477.28
  5. Step 5: Solve for x
    x = 64,024,586,477.28/206,817.60
  6. Step 6: Final answer
    x = 309,570.30

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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.