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Finding the Fourth Proportional to 149,617.80, 206,469.54 and 85,953.96

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Solution

The fourth proportional to 149,617.80, 206,469.54 and 85,953.96 is: 118,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,617.80 : 206,469.54 = 85,953.96 : x
  2. Step 2: Convert to fraction form
    149,617.80/206,469.54 = 85,953.96/x
  3. Step 3: Cross multiply
    149,617.80x = 206,469.54 × 85,953.96
  4. Step 4: Simplify right side
    149,617.80x = 17,746,874,582.38
  5. Step 5: Solve for x
    x = 17,746,874,582.38/149,617.80
  6. Step 6: Final answer
    x = 118,614.73

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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.