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Finding the Fourth Proportional to 149,322.34, 206,064.83 and 82,254.34

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Solution

The fourth proportional to 149,322.34, 206,064.83 and 82,254.34 is: 113,510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,322.34 : 206,064.83 = 82,254.34 : x
  2. Step 2: Convert to fraction form
    149,322.34/206,064.83 = 82,254.34/x
  3. Step 3: Cross multiply
    149,322.34x = 206,064.83 × 82,254.34
  4. Step 4: Simplify right side
    149,322.34x = 16,949,725,147.27
  5. Step 5: Solve for x
    x = 16,949,725,147.27/149,322.34
  6. Step 6: Final answer
    x = 113,510.98

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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.