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Finding the Fourth Proportional to 206,657.80, 309,986.70 and 205,345.60

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Solution

The fourth proportional to 206,657.80, 309,986.70 and 205,345.60 is: 308,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,657.80 : 309,986.70 = 205,345.60 : x
  2. Step 2: Convert to fraction form
    206,657.80/309,986.70 = 205,345.60/x
  3. Step 3: Cross multiply
    206,657.80x = 309,986.70 × 205,345.60
  4. Step 4: Simplify right side
    206,657.80x = 63,654,404,903.52
  5. Step 5: Solve for x
    x = 63,654,404,903.52/206,657.80
  6. Step 6: Final answer
    x = 308,018.40

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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.