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Finding the Fourth Proportional to 201,938.77, 278,511.91 and 177,687.37

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Solution

The fourth proportional to 201,938.77, 278,511.91 and 177,687.37 is: 245,064.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,938.77 : 278,511.91 = 177,687.37 : x
  2. Step 2: Convert to fraction form
    201,938.77/278,511.91 = 177,687.37/x
  3. Step 3: Cross multiply
    201,938.77x = 278,511.91 × 177,687.37
  4. Step 4: Simplify right side
    201,938.77x = 49,488,048,801.58
  5. Step 5: Solve for x
    x = 49,488,048,801.58/201,938.77
  6. Step 6: Final answer
    x = 245,064.62

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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.