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Finding the Fourth Proportional to 149,147.24, 205,823.60 and 82,079.24

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Solution

The fourth proportional to 149,147.24, 205,823.60 and 82,079.24 is: 113,269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,147.24 : 205,823.60 = 82,079.24 : x
  2. Step 2: Convert to fraction form
    149,147.24/205,823.60 = 82,079.24/x
  3. Step 3: Cross multiply
    149,147.24x = 205,823.60 × 82,079.24
  4. Step 4: Simplify right side
    149,147.24x = 16,893,844,662.06
  5. Step 5: Solve for x
    x = 16,893,844,662.06/149,147.24
  6. Step 6: Final answer
    x = 113,269.58

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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.