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Finding the Fourth Proportional to 206,297.93, 284,808.94 and 157,810.38

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Solution

The fourth proportional to 206,297.93, 284,808.94 and 157,810.38 is: 217,868.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,297.93 : 284,808.94 = 157,810.38 : x
  2. Step 2: Convert to fraction form
    206,297.93/284,808.94 = 157,810.38/x
  3. Step 3: Cross multiply
    206,297.93x = 284,808.94 × 157,810.38
  4. Step 4: Simplify right side
    206,297.93x = 44,945,806,654.27
  5. Step 5: Solve for x
    x = 44,945,806,654.27/206,297.93
  6. Step 6: Final answer
    x = 217,868.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.