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Finding the Fourth Proportional to 149,377.98, 206,139 and 81,395.52

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Solution

The fourth proportional to 149,377.98, 206,139 and 81,395.52 is: 112,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,377.98 : 206,139 = 81,395.52 : x
  2. Step 2: Convert to fraction form
    149,377.98/206,139 = 81,395.52/x
  3. Step 3: Cross multiply
    149,377.98x = 206,139 × 81,395.52
  4. Step 4: Simplify right side
    149,377.98x = 16,778,791,097.28
  5. Step 5: Solve for x
    x = 16,778,791,097.28/149,377.98
  6. Step 6: Final answer
    x = 112,324.39

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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.