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Finding the Fourth Proportional to 232,760, 349,160.26 and 64,280.56

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Solution

The fourth proportional to 232,760, 349,160.26 and 64,280.56 is: 96,426.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,760 : 349,160.26 = 64,280.56 : x
  2. Step 2: Convert to fraction form
    232,760/349,160.26 = 64,280.56/x
  3. Step 3: Cross multiply
    232,760x = 349,160.26 × 64,280.56
  4. Step 4: Simplify right side
    232,760x = 22,444,217,042.55
  5. Step 5: Solve for x
    x = 22,444,217,042.55/232,760
  6. Step 6: Final answer
    x = 96,426.44

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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.