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Finding the Fourth Proportional to 201,878.43, 278,604.87 and 111,234.36

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Solution

The fourth proportional to 201,878.43, 278,604.87 and 111,234.36 is: 153,510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,878.43 : 278,604.87 = 111,234.36 : x
  2. Step 2: Convert to fraction form
    201,878.43/278,604.87 = 111,234.36/x
  3. Step 3: Cross multiply
    201,878.43x = 278,604.87 × 111,234.36
  4. Step 4: Simplify right side
    201,878.43x = 30,990,435,034.97
  5. Step 5: Solve for x
    x = 30,990,435,034.97/201,878.43
  6. Step 6: Final answer
    x = 153,510.39

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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.