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Finding the Fourth Proportional to 208,522.58, 313,282.42 and 133,789.52

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Solution

The fourth proportional to 208,522.58, 313,282.42 and 133,789.52 is: 201,004.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,522.58 : 313,282.42 = 133,789.52 : x
  2. Step 2: Convert to fraction form
    208,522.58/313,282.42 = 133,789.52/x
  3. Step 3: Cross multiply
    208,522.58x = 313,282.42 × 133,789.52
  4. Step 4: Simplify right side
    208,522.58x = 41,913,904,596.24
  5. Step 5: Solve for x
    x = 41,913,904,596.24/208,522.58
  6. Step 6: Final answer
    x = 201,004.15

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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.