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Finding the Fourth Proportional to 149,798.49, 206,717.23 and 81,814.38

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Solution

The fourth proportional to 149,798.49, 206,717.23 and 81,814.38 is: 112,901.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,798.49 : 206,717.23 = 81,814.38 : x
  2. Step 2: Convert to fraction form
    149,798.49/206,717.23 = 81,814.38/x
  3. Step 3: Cross multiply
    149,798.49x = 206,717.23 × 81,814.38
  4. Step 4: Simplify right side
    149,798.49x = 16,912,442,007.77
  5. Step 5: Solve for x
    x = 16,912,442,007.77/149,798.49
  6. Step 6: Final answer
    x = 112,901.28

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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.