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Finding the Fourth Proportional to 74,193.30, 102,386.43 and 40,201.92

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Solution

The fourth proportional to 74,193.30, 102,386.43 and 40,201.92 is: 55,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,193.30 : 102,386.43 = 40,201.92 : x
  2. Step 2: Convert to fraction form
    74,193.30/102,386.43 = 40,201.92/x
  3. Step 3: Cross multiply
    74,193.30x = 102,386.43 × 40,201.92
  4. Step 4: Simplify right side
    74,193.30x = 4,116,131,067.95
  5. Step 5: Solve for x
    x = 4,116,131,067.95/74,193.30
  6. Step 6: Final answer
    x = 55,478.47

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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.