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Finding the Fourth Proportional to 133,891.85, 200,828.09 and 62,830.64

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Solution

The fourth proportional to 133,891.85, 200,828.09 and 62,830.64 is: 94,241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,891.85 : 200,828.09 = 62,830.64 : x
  2. Step 2: Convert to fraction form
    133,891.85/200,828.09 = 62,830.64/x
  3. Step 3: Cross multiply
    133,891.85x = 200,828.09 × 62,830.64
  4. Step 4: Simplify right side
    133,891.85x = 12,618,158,083.82
  5. Step 5: Solve for x
    x = 12,618,158,083.82/133,891.85
  6. Step 6: Final answer
    x = 94,241.42

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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.