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Finding the Fourth Proportional to 247,233.46, 370,912.38 and 114,207.84

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Solution

The fourth proportional to 247,233.46, 370,912.38 and 114,207.84 is: 171,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,233.46 : 370,912.38 = 114,207.84 : x
  2. Step 2: Convert to fraction form
    247,233.46/370,912.38 = 114,207.84/x
  3. Step 3: Cross multiply
    247,233.46x = 370,912.38 × 114,207.84
  4. Step 4: Simplify right side
    247,233.46x = 42,361,099,323.46
  5. Step 5: Solve for x
    x = 42,361,099,323.46/247,233.46
  6. Step 6: Final answer
    x = 171,340.48

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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.