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Finding the Fourth Proportional to 269,820.70, 404,942.52 and 188,237.20

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Solution

The fourth proportional to 269,820.70, 404,942.52 and 188,237.20 is: 282,503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,820.70 : 404,942.52 = 188,237.20 : x
  2. Step 2: Convert to fraction form
    269,820.70/404,942.52 = 188,237.20/x
  3. Step 3: Cross multiply
    269,820.70x = 404,942.52 × 188,237.20
  4. Step 4: Simplify right side
    269,820.70x = 76,225,246,125.74
  5. Step 5: Solve for x
    x = 76,225,246,125.74/269,820.70
  6. Step 6: Final answer
    x = 282,503.33

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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.