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Finding the Fourth Proportional to 149,533.98, 206,351.19 and 82,465.98

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Solution

The fourth proportional to 149,533.98, 206,351.19 and 82,465.98 is: 113,799.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,533.98 : 206,351.19 = 82,465.98 : x
  2. Step 2: Convert to fraction form
    149,533.98/206,351.19 = 82,465.98/x
  3. Step 3: Cross multiply
    149,533.98x = 206,351.19 × 82,465.98
  4. Step 4: Simplify right side
    149,533.98x = 17,016,953,107.52
  5. Step 5: Solve for x
    x = 17,016,953,107.52/149,533.98
  6. Step 6: Final answer
    x = 113,799.91

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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.