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Finding the Fourth Proportional to 149,332.23, 206,078.38 and 82,264.23

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Solution

The fourth proportional to 149,332.23, 206,078.38 and 82,264.23 is: 113,524.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,332.23 : 206,078.38 = 82,264.23 : x
  2. Step 2: Convert to fraction form
    149,332.23/206,078.38 = 82,264.23/x
  3. Step 3: Cross multiply
    149,332.23x = 206,078.38 × 82,264.23
  4. Step 4: Simplify right side
    149,332.23x = 16,952,878,734.63
  5. Step 5: Solve for x
    x = 16,952,878,734.63/149,332.23
  6. Step 6: Final answer
    x = 113,524.58

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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.