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Finding the Fourth Proportional to 74,022.20, 102,151.80 and 42,190.40

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Solution

The fourth proportional to 74,022.20, 102,151.80 and 42,190.40 is: 58,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,022.20 : 102,151.80 = 42,190.40 : x
  2. Step 2: Convert to fraction form
    74,022.20/102,151.80 = 42,190.40/x
  3. Step 3: Cross multiply
    74,022.20x = 102,151.80 × 42,190.40
  4. Step 4: Simplify right side
    74,022.20x = 4,309,825,302.72
  5. Step 5: Solve for x
    x = 4,309,825,302.72/74,022.20
  6. Step 6: Final answer
    x = 58,223.42

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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.