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Finding the Fourth Proportional to 208,523.58, 313,283.92 and 133,790.52

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Solution

The fourth proportional to 208,523.58, 313,283.92 and 133,790.52 is: 201,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,523.58 : 313,283.92 = 133,790.52 : x
  2. Step 2: Convert to fraction form
    208,523.58/313,283.92 = 133,790.52/x
  3. Step 3: Cross multiply
    208,523.58x = 313,283.92 × 133,790.52
  4. Step 4: Simplify right side
    208,523.58x = 41,914,418,564.44
  5. Step 5: Solve for x
    x = 41,914,418,564.44/208,523.58
  6. Step 6: Final answer
    x = 201,005.65

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