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Finding the Fourth Proportional to 149,544.86, 206,366.20 and 82,476.86

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Solution

The fourth proportional to 149,544.86, 206,366.20 and 82,476.86 is: 113,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,544.86 : 206,366.20 = 82,476.86 : x
  2. Step 2: Convert to fraction form
    149,544.86/206,366.20 = 82,476.86/x
  3. Step 3: Cross multiply
    149,544.86x = 206,366.20 × 82,476.86
  4. Step 4: Simplify right side
    149,544.86x = 17,020,434,948.11
  5. Step 5: Solve for x
    x = 17,020,434,948.11/149,544.86
  6. Step 6: Final answer
    x = 113,814.91

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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.