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Finding the Fourth Proportional to 301,180.88, 415,638.60 and 167,042

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Solution

The fourth proportional to 301,180.88, 415,638.60 and 167,042 is: 230,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,180.88 : 415,638.60 = 167,042 : x
  2. Step 2: Convert to fraction form
    301,180.88/415,638.60 = 167,042/x
  3. Step 3: Cross multiply
    301,180.88x = 415,638.60 × 167,042
  4. Step 4: Simplify right side
    301,180.88x = 69,429,103,021.20
  5. Step 5: Solve for x
    x = 69,429,103,021.20/301,180.88
  6. Step 6: Final answer
    x = 230,522.94

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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.