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Finding the Fourth Proportional to 149,321.84, 206,064.14 and 82,253.84

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Solution

The fourth proportional to 149,321.84, 206,064.14 and 82,253.84 is: 113,510.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,321.84 : 206,064.14 = 82,253.84 : x
  2. Step 2: Convert to fraction form
    149,321.84/206,064.14 = 82,253.84/x
  3. Step 3: Cross multiply
    149,321.84x = 206,064.14 × 82,253.84
  4. Step 4: Simplify right side
    149,321.84x = 16,949,565,359.71
  5. Step 5: Solve for x
    x = 16,949,565,359.71/149,321.84
  6. Step 6: Final answer
    x = 113,510.29

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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.