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Finding the Fourth Proportional to 230,112, 345,172.32 and 63,904.32

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Solution

The fourth proportional to 230,112, 345,172.32 and 63,904.32 is: 95,857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,112 : 345,172.32 = 63,904.32 : x
  2. Step 2: Convert to fraction form
    230,112/345,172.32 = 63,904.32/x
  3. Step 3: Cross multiply
    230,112x = 345,172.32 × 63,904.32
  4. Step 4: Simplify right side
    230,112x = 22,058,002,392.42
  5. Step 5: Solve for x
    x = 22,058,002,392.42/230,112
  6. Step 6: Final answer
    x = 95,857.68

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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.