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Finding the Fourth Proportional to 264,634.86, 365,194.15 and 143,777.14

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Solution

The fourth proportional to 264,634.86, 365,194.15 and 143,777.14 is: 198,411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,634.86 : 365,194.15 = 143,777.14 : x
  2. Step 2: Convert to fraction form
    264,634.86/365,194.15 = 143,777.14/x
  3. Step 3: Cross multiply
    264,634.86x = 365,194.15 × 143,777.14
  4. Step 4: Simplify right side
    264,634.86x = 52,506,570,431.73
  5. Step 5: Solve for x
    x = 52,506,570,431.73/264,634.86
  6. Step 6: Final answer
    x = 198,411.39

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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.