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Finding the Fourth Proportional to 230,227, 345,360.06 and 64,015

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Solution

The fourth proportional to 230,227, 345,360.06 and 64,015 is: 96,027.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,227 : 345,360.06 = 64,015 : x
  2. Step 2: Convert to fraction form
    230,227/345,360.06 = 64,015/x
  3. Step 3: Cross multiply
    230,227x = 345,360.06 × 64,015
  4. Step 4: Simplify right side
    230,227x = 22,108,224,240.90
  5. Step 5: Solve for x
    x = 22,108,224,240.90/230,227
  6. Step 6: Final answer
    x = 96,027.94

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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.