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Finding the Fourth Proportional to 292,542.38, 403,716.45 and 165,236.90

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Solution

The fourth proportional to 292,542.38, 403,716.45 and 165,236.90 is: 228,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,542.38 : 403,716.45 = 165,236.90 : x
  2. Step 2: Convert to fraction form
    292,542.38/403,716.45 = 165,236.90/x
  3. Step 3: Cross multiply
    292,542.38x = 403,716.45 × 165,236.90
  4. Step 4: Simplify right side
    292,542.38x = 66,708,854,677.01
  5. Step 5: Solve for x
    x = 66,708,854,677.01/292,542.38
  6. Step 6: Final answer
    x = 228,031.42

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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.