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Finding the Fourth Proportional to 292,022.20, 403,076.82 and 171,189.64

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Solution

The fourth proportional to 292,022.20, 403,076.82 and 171,189.64 is: 236,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,022.20 : 403,076.82 = 171,189.64 : x
  2. Step 2: Convert to fraction form
    292,022.20/403,076.82 = 171,189.64/x
  3. Step 3: Cross multiply
    292,022.20x = 403,076.82 × 171,189.64
  4. Step 4: Simplify right side
    292,022.20x = 69,002,575,708.14
  5. Step 5: Solve for x
    x = 69,002,575,708.14/292,022.20
  6. Step 6: Final answer
    x = 236,292.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.