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Finding the Fourth Proportional to 232,750, 349,145.25 and 64,270.54

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Solution

The fourth proportional to 232,750, 349,145.25 and 64,270.54 is: 96,411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,750 : 349,145.25 = 64,270.54 : x
  2. Step 2: Convert to fraction form
    232,750/349,145.25 = 64,270.54/x
  3. Step 3: Cross multiply
    232,750x = 349,145.25 × 64,270.54
  4. Step 4: Simplify right side
    232,750x = 22,439,753,755.94
  5. Step 5: Solve for x
    x = 22,439,753,755.94/232,750
  6. Step 6: Final answer
    x = 96,411.40

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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.