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Finding the Fourth Proportional to 230,760, 346,140 and 64,548

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Solution

The fourth proportional to 230,760, 346,140 and 64,548 is: 96,822

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,760 : 346,140 = 64,548 : x
  2. Step 2: Convert to fraction form
    230,760/346,140 = 64,548/x
  3. Step 3: Cross multiply
    230,760x = 346,140 × 64,548
  4. Step 4: Simplify right side
    230,760x = 22,342,644,720
  5. Step 5: Solve for x
    x = 22,342,644,720/230,760
  6. Step 6: Final answer
    x = 96,822

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.