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Finding the Fourth Proportional to 205,939.50, 284,233.29 and 149,514.90

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Solution

The fourth proportional to 205,939.50, 284,233.29 and 149,514.90 is: 206,357.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,939.50 : 284,233.29 = 149,514.90 : x
  2. Step 2: Convert to fraction form
    205,939.50/284,233.29 = 149,514.90/x
  3. Step 3: Cross multiply
    205,939.50x = 284,233.29 × 149,514.90
  4. Step 4: Simplify right side
    205,939.50x = 42,497,111,931.02
  5. Step 5: Solve for x
    x = 42,497,111,931.02/205,939.50
  6. Step 6: Final answer
    x = 206,357.26

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