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Finding the Fourth Proportional to 292,422.96, 403,540.20 and 165,103.92

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Solution

The fourth proportional to 292,422.96, 403,540.20 and 165,103.92 is: 227,841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,422.96 : 403,540.20 = 165,103.92 : x
  2. Step 2: Convert to fraction form
    292,422.96/403,540.20 = 165,103.92/x
  3. Step 3: Cross multiply
    292,422.96x = 403,540.20 × 165,103.92
  4. Step 4: Simplify right side
    292,422.96x = 66,626,068,897.58
  5. Step 5: Solve for x
    x = 66,626,068,897.58/292,422.96
  6. Step 6: Final answer
    x = 227,841.44

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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.