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Finding the Fourth Proportional to 201,974.10, 278,465.10 and 165,541.41

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Solution

The fourth proportional to 201,974.10, 278,465.10 and 165,541.41 is: 228,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,974.10 : 278,465.10 = 165,541.41 : x
  2. Step 2: Convert to fraction form
    201,974.10/278,465.10 = 165,541.41/x
  3. Step 3: Cross multiply
    201,974.10x = 278,465.10 × 165,541.41
  4. Step 4: Simplify right side
    201,974.10x = 46,097,505,289.79
  5. Step 5: Solve for x
    x = 46,097,505,289.79/201,974.10
  6. Step 6: Final answer
    x = 228,234.74

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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.