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Finding the Fourth Proportional to 149,297.81, 206,030.99 and 82,229.81

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Solution

The fourth proportional to 149,297.81, 206,030.99 and 82,229.81 is: 113,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,297.81 : 206,030.99 = 82,229.81 : x
  2. Step 2: Convert to fraction form
    149,297.81/206,030.99 = 82,229.81/x
  3. Step 3: Cross multiply
    149,297.81x = 206,030.99 × 82,229.81
  4. Step 4: Simplify right side
    149,297.81x = 16,941,889,265.74
  5. Step 5: Solve for x
    x = 16,941,889,265.74/149,297.81
  6. Step 6: Final answer
    x = 113,477.14

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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.