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Finding the Fourth Proportional to 133,801.41, 184,467.31 and 106,297.32

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Solution

The fourth proportional to 133,801.41, 184,467.31 and 106,297.32 is: 146,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,801.41 : 184,467.31 = 106,297.32 : x
  2. Step 2: Convert to fraction form
    133,801.41/184,467.31 = 106,297.32/x
  3. Step 3: Cross multiply
    133,801.41x = 184,467.31 × 106,297.32
  4. Step 4: Simplify right side
    133,801.41x = 19,608,380,680.61
  5. Step 5: Solve for x
    x = 19,608,380,680.61/133,801.41
  6. Step 6: Final answer
    x = 146,548.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.