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Finding the Fourth Proportional to 264,546.92, 365,077.40 and 143,690.57

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Solution

The fourth proportional to 264,546.92, 365,077.40 and 143,690.57 is: 198,294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,546.92 : 365,077.40 = 143,690.57 : x
  2. Step 2: Convert to fraction form
    264,546.92/365,077.40 = 143,690.57/x
  3. Step 3: Cross multiply
    264,546.92x = 365,077.40 × 143,690.57
  4. Step 4: Simplify right side
    264,546.92x = 52,458,179,700.12
  5. Step 5: Solve for x
    x = 52,458,179,700.12/264,546.92
  6. Step 6: Final answer
    x = 198,294.43

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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.