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Finding the Fourth Proportional to 149,588.98, 206,418.45 and 82,516.66

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Solution

The fourth proportional to 149,588.98, 206,418.45 and 82,516.66 is: 113,865.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,588.98 : 206,418.45 = 82,516.66 : x
  2. Step 2: Convert to fraction form
    149,588.98/206,418.45 = 82,516.66/x
  3. Step 3: Cross multiply
    149,588.98x = 206,418.45 × 82,516.66
  4. Step 4: Simplify right side
    149,588.98x = 17,032,961,056.38
  5. Step 5: Solve for x
    x = 17,032,961,056.38/149,588.98
  6. Step 6: Final answer
    x = 113,865.08

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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.