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Finding the Fourth Proportional to 181,188.36, 271,880.28 and 106,454.48

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Solution

The fourth proportional to 181,188.36, 271,880.28 and 106,454.48 is: 159,739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,188.36 : 271,880.28 = 106,454.48 : x
  2. Step 2: Convert to fraction form
    181,188.36/271,880.28 = 106,454.48/x
  3. Step 3: Cross multiply
    181,188.36x = 271,880.28 × 106,454.48
  4. Step 4: Simplify right side
    181,188.36x = 28,942,872,470.25
  5. Step 5: Solve for x
    x = 28,942,872,470.25/181,188.36
  6. Step 6: Final answer
    x = 159,739.14

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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.