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Finding the Fourth Proportional to 301,203.90, 415,659.68 and 165,234.36

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Solution

The fourth proportional to 301,203.90, 415,659.68 and 165,234.36 is: 228,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,203.90 : 415,659.68 = 165,234.36 : x
  2. Step 2: Convert to fraction form
    301,203.90/415,659.68 = 165,234.36/x
  3. Step 3: Cross multiply
    301,203.90x = 415,659.68 × 165,234.36
  4. Step 4: Simplify right side
    301,203.90x = 68,681,261,202.60
  5. Step 5: Solve for x
    x = 68,681,261,202.60/301,203.90
  6. Step 6: Final answer
    x = 228,022.49

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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.