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Finding the Fourth Proportional to 292,716.92, 403,918.44 and 165,367.92

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Solution

The fourth proportional to 292,716.92, 403,918.44 and 165,367.92 is: 228,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,716.92 : 403,918.44 = 165,367.92 : x
  2. Step 2: Convert to fraction form
    292,716.92/403,918.44 = 165,367.92/x
  3. Step 3: Cross multiply
    292,716.92x = 403,918.44 × 165,367.92
  4. Step 4: Simplify right side
    292,716.92x = 66,795,152,272.44
  5. Step 5: Solve for x
    x = 66,795,152,272.44/292,716.92
  6. Step 6: Final answer
    x = 228,190.27

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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.