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Finding the Fourth Proportional to 301,203.39, 415,658.99 and 165,233.86

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Solution

The fourth proportional to 301,203.39, 415,658.99 and 165,233.86 is: 228,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,203.39 : 415,658.99 = 165,233.86 : x
  2. Step 2: Convert to fraction form
    301,203.39/415,658.99 = 165,233.86/x
  3. Step 3: Cross multiply
    301,203.39x = 415,658.99 × 165,233.86
  4. Step 4: Simplify right side
    301,203.39x = 68,680,938,735.34
  5. Step 5: Solve for x
    x = 68,680,938,735.34/301,203.39
  6. Step 6: Final answer
    x = 228,021.80

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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.