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Finding the Fourth Proportional to 149,461.47, 206,255.48 and 82,393.47

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Solution

The fourth proportional to 149,461.47, 206,255.48 and 82,393.47 is: 113,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,461.47 : 206,255.48 = 82,393.47 : x
  2. Step 2: Convert to fraction form
    149,461.47/206,255.48 = 82,393.47/x
  3. Step 3: Cross multiply
    149,461.47x = 206,255.48 × 82,393.47
  4. Step 4: Simplify right side
    149,461.47x = 16,994,104,291.75
  5. Step 5: Solve for x
    x = 16,994,104,291.75/149,461.47
  6. Step 6: Final answer
    x = 113,702.24

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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.