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Finding the Fourth Proportional to 208,525.58, 313,286.92 and 133,792.52

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Solution

The fourth proportional to 208,525.58, 313,286.92 and 133,792.52 is: 201,008.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,525.58 : 313,286.92 = 133,792.52 : x
  2. Step 2: Convert to fraction form
    208,525.58/313,286.92 = 133,792.52/x
  3. Step 3: Cross multiply
    208,525.58x = 313,286.92 × 133,792.52
  4. Step 4: Simplify right side
    208,525.58x = 41,915,446,509.84
  5. Step 5: Solve for x
    x = 41,915,446,509.84/208,525.58
  6. Step 6: Final answer
    x = 201,008.66

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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.