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Finding the Fourth Proportional to 264,543.54, 365,072.74 and 143,687.19

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Solution

The fourth proportional to 264,543.54, 365,072.74 and 143,687.19 is: 198,289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,543.54 : 365,072.74 = 143,687.19 : x
  2. Step 2: Convert to fraction form
    264,543.54/365,072.74 = 143,687.19/x
  3. Step 3: Cross multiply
    264,543.54x = 365,072.74 × 143,687.19
  4. Step 4: Simplify right side
    264,543.54x = 52,456,275,796.98
  5. Step 5: Solve for x
    x = 52,456,275,796.98/264,543.54
  6. Step 6: Final answer
    x = 198,289.76

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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.