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Finding the Fourth Proportional to 188,906.70, 283,360.05 and 164,302.95

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Solution

The fourth proportional to 188,906.70, 283,360.05 and 164,302.95 is: 246,454.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,906.70 : 283,360.05 = 164,302.95 : x
  2. Step 2: Convert to fraction form
    188,906.70/283,360.05 = 164,302.95/x
  3. Step 3: Cross multiply
    188,906.70x = 283,360.05 × 164,302.95
  4. Step 4: Simplify right side
    188,906.70x = 46,556,892,127.15
  5. Step 5: Solve for x
    x = 46,556,892,127.15/188,906.70
  6. Step 6: Final answer
    x = 246,454.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.