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Finding the Fourth Proportional to 264,832.64, 365,464.64 and 143,976.96

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Solution

The fourth proportional to 264,832.64, 365,464.64 and 143,976.96 is: 198,685.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,832.64 : 365,464.64 = 143,976.96 : x
  2. Step 2: Convert to fraction form
    264,832.64/365,464.64 = 143,976.96/x
  3. Step 3: Cross multiply
    264,832.64x = 365,464.64 × 143,976.96
  4. Step 4: Simplify right side
    264,832.64x = 52,618,487,854.69
  5. Step 5: Solve for x
    x = 52,618,487,854.69/264,832.64
  6. Step 6: Final answer
    x = 198,685.81

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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.