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Finding the Fourth Proportional to 149,626.50, 206,484.58 and 82,558.50

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Solution

The fourth proportional to 149,626.50, 206,484.58 and 82,558.50 is: 113,930.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,626.50 : 206,484.58 = 82,558.50 : x
  2. Step 2: Convert to fraction form
    149,626.50/206,484.58 = 82,558.50/x
  3. Step 3: Cross multiply
    149,626.50x = 206,484.58 × 82,558.50
  4. Step 4: Simplify right side
    149,626.50x = 17,047,057,197.93
  5. Step 5: Solve for x
    x = 17,047,057,197.93/149,626.50
  6. Step 6: Final answer
    x = 113,930.74

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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.