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Finding the Fourth Proportional to 199,663.60, 275,541.44 and 109,025.32

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Solution

The fourth proportional to 199,663.60, 275,541.44 and 109,025.32 is: 150,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,663.60 : 275,541.44 = 109,025.32 : x
  2. Step 2: Convert to fraction form
    199,663.60/275,541.44 = 109,025.32/x
  3. Step 3: Cross multiply
    199,663.60x = 275,541.44 × 109,025.32
  4. Step 4: Simplify right side
    199,663.60x = 30,040,993,669.26
  5. Step 5: Solve for x
    x = 30,040,993,669.26/199,663.60
  6. Step 6: Final answer
    x = 150,458.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.