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Finding the Fourth Proportional to 264,942.62, 365,619 and 144,083.58

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Solution

The fourth proportional to 264,942.62, 365,619 and 144,083.58 is: 198,834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,942.62 : 365,619 = 144,083.58 : x
  2. Step 2: Convert to fraction form
    264,942.62/365,619 = 144,083.58/x
  3. Step 3: Cross multiply
    264,942.62x = 365,619 × 144,083.58
  4. Step 4: Simplify right side
    264,942.62x = 52,679,694,436.02
  5. Step 5: Solve for x
    x = 52,679,694,436.02/264,942.62
  6. Step 6: Final answer
    x = 198,834.36

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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.