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Finding the Fourth Proportional to 264,321.39, 364,753.76 and 143,460.08

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Solution

The fourth proportional to 264,321.39, 364,753.76 and 143,460.08 is: 197,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,321.39 : 364,753.76 = 143,460.08 : x
  2. Step 2: Convert to fraction form
    264,321.39/364,753.76 = 143,460.08/x
  3. Step 3: Cross multiply
    264,321.39x = 364,753.76 × 143,460.08
  4. Step 4: Simplify right side
    264,321.39x = 52,327,603,589.90
  5. Step 5: Solve for x
    x = 52,327,603,589.90/264,321.39
  6. Step 6: Final answer
    x = 197,969.61

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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.