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Finding the Fourth Proportional to 264,664.30, 397,111.65 and 133,336.30

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Solution

The fourth proportional to 264,664.30, 397,111.65 and 133,336.30 is: 200,062.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,664.30 : 397,111.65 = 133,336.30 : x
  2. Step 2: Convert to fraction form
    264,664.30/397,111.65 = 133,336.30/x
  3. Step 3: Cross multiply
    264,664.30x = 397,111.65 × 133,336.30
  4. Step 4: Simplify right side
    264,664.30x = 52,949,398,097.90
  5. Step 5: Solve for x
    x = 52,949,398,097.90/264,664.30
  6. Step 6: Final answer
    x = 200,062.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.