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Finding the Fourth Proportional to 230,304, 345,456 and 64,096.32

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Solution

The fourth proportional to 230,304, 345,456 and 64,096.32 is: 96,144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,304 : 345,456 = 64,096.32 : x
  2. Step 2: Convert to fraction form
    230,304/345,456 = 64,096.32/x
  3. Step 3: Cross multiply
    230,304x = 345,456 × 64,096.32
  4. Step 4: Simplify right side
    230,304x = 22,142,458,321.92
  5. Step 5: Solve for x
    x = 22,142,458,321.92/230,304
  6. Step 6: Final answer
    x = 96,144.48

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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.