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Finding the Fourth Proportional to 206,580.20, 309,870.30 and 206,580.20

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Solution

The fourth proportional to 206,580.20, 309,870.30 and 206,580.20 is: 309,870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,580.20 : 309,870.30 = 206,580.20 : x
  2. Step 2: Convert to fraction form
    206,580.20/309,870.30 = 206,580.20/x
  3. Step 3: Cross multiply
    206,580.20x = 309,870.30 × 206,580.20
  4. Step 4: Simplify right side
    206,580.20x = 64,013,068,548.06
  5. Step 5: Solve for x
    x = 64,013,068,548.06/206,580.20
  6. Step 6: Final answer
    x = 309,870.30

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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.