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Finding the Fourth Proportional to 292,057.11, 403,057.62 and 164,729.97

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Solution

The fourth proportional to 292,057.11, 403,057.62 and 164,729.97 is: 227,337.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,057.11 : 403,057.62 = 164,729.97 : x
  2. Step 2: Convert to fraction form
    292,057.11/403,057.62 = 164,729.97/x
  3. Step 3: Cross multiply
    292,057.11x = 403,057.62 × 164,729.97
  4. Step 4: Simplify right side
    292,057.11x = 66,395,669,650.87
  5. Step 5: Solve for x
    x = 66,395,669,650.87/292,057.11
  6. Step 6: Final answer
    x = 227,337.97

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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.