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Finding the Fourth Proportional to 272,091.36, 408,141.14 and 103,621

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Solution

The fourth proportional to 272,091.36, 408,141.14 and 103,621 is: 155,433.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,091.36 : 408,141.14 = 103,621 : x
  2. Step 2: Convert to fraction form
    272,091.36/408,141.14 = 103,621/x
  3. Step 3: Cross multiply
    272,091.36x = 408,141.14 × 103,621
  4. Step 4: Simplify right side
    272,091.36x = 42,291,993,067.94
  5. Step 5: Solve for x
    x = 42,291,993,067.94/272,091.36
  6. Step 6: Final answer
    x = 155,433.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.