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Finding the Fourth Proportional to 264,815.78, 365,448.16 and 143,957.30

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Solution

The fourth proportional to 264,815.78, 365,448.16 and 143,957.30 is: 198,662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,815.78 : 365,448.16 = 143,957.30 : x
  2. Step 2: Convert to fraction form
    264,815.78/365,448.16 = 143,957.30/x
  3. Step 3: Cross multiply
    264,815.78x = 365,448.16 × 143,957.30
  4. Step 4: Simplify right side
    264,815.78x = 52,608,930,002.16
  5. Step 5: Solve for x
    x = 52,608,930,002.16/264,815.78
  6. Step 6: Final answer
    x = 198,662.37

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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.