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Finding the Fourth Proportional to 206,365.30, 309,029.55 and 164,893.30

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Solution

The fourth proportional to 206,365.30, 309,029.55 and 164,893.30 is: 246,925.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,365.30 : 309,029.55 = 164,893.30 : x
  2. Step 2: Convert to fraction form
    206,365.30/309,029.55 = 164,893.30/x
  3. Step 3: Cross multiply
    206,365.30x = 309,029.55 × 164,893.30
  4. Step 4: Simplify right side
    206,365.30x = 50,956,902,297.02
  5. Step 5: Solve for x
    x = 50,956,902,297.02/206,365.30
  6. Step 6: Final answer
    x = 246,925.73

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1.5x scale

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.