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Finding the Fourth Proportional to 264,761.55, 365,374.64 and 143,902.80

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Solution

The fourth proportional to 264,761.55, 365,374.64 and 143,902.80 is: 198,587.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,761.55 : 365,374.64 = 143,902.80 : x
  2. Step 2: Convert to fraction form
    264,761.55/365,374.64 = 143,902.80/x
  3. Step 3: Cross multiply
    264,761.55x = 365,374.64 × 143,902.80
  4. Step 4: Simplify right side
    264,761.55x = 52,578,433,744.99
  5. Step 5: Solve for x
    x = 52,578,433,744.99/264,761.55
  6. Step 6: Final answer
    x = 198,587.88

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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.