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Finding the Fourth Proportional to 149,628.50, 206,491.66 and 82,564.82

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Solution

The fourth proportional to 149,628.50, 206,491.66 and 82,564.82 is: 113,941.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,628.50 : 206,491.66 = 82,564.82 : x
  2. Step 2: Convert to fraction form
    149,628.50/206,491.66 = 82,564.82/x
  3. Step 3: Cross multiply
    149,628.50x = 206,491.66 × 82,564.82
  4. Step 4: Simplify right side
    149,628.50x = 17,048,946,739.40
  5. Step 5: Solve for x
    x = 17,048,946,739.40/149,628.50
  6. Step 6: Final answer
    x = 113,941.84

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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.