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Finding the Fourth Proportional to 149,586.98, 206,415.69 and 82,514.66

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Solution

The fourth proportional to 149,586.98, 206,415.69 and 82,514.66 is: 113,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,586.98 : 206,415.69 = 82,514.66 : x
  2. Step 2: Convert to fraction form
    149,586.98/206,415.69 = 82,514.66/x
  3. Step 3: Cross multiply
    149,586.98x = 206,415.69 × 82,514.66
  4. Step 4: Simplify right side
    149,586.98x = 17,032,320,479.02
  5. Step 5: Solve for x
    x = 17,032,320,479.02/149,586.98
  6. Step 6: Final answer
    x = 113,862.32

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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.