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Finding the Fourth Proportional to 274,099.23, 411,218.92 and 105,574.32

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Solution

The fourth proportional to 274,099.23, 411,218.92 and 105,574.32 is: 158,388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,099.23 : 411,218.92 = 105,574.32 : x
  2. Step 2: Convert to fraction form
    274,099.23/411,218.92 = 105,574.32/x
  3. Step 3: Cross multiply
    274,099.23x = 411,218.92 × 105,574.32
  4. Step 4: Simplify right side
    274,099.23x = 43,414,158,350.31
  5. Step 5: Solve for x
    x = 43,414,158,350.31/274,099.23
  6. Step 6: Final answer
    x = 158,388.47

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Why These Related Problems?

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