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Finding the Fourth Proportional to 195,920.96, 270,373.96 and 114,247

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Solution

The fourth proportional to 195,920.96, 270,373.96 and 114,247 is: 157,662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,920.96 : 270,373.96 = 114,247 : x
  2. Step 2: Convert to fraction form
    195,920.96/270,373.96 = 114,247/x
  3. Step 3: Cross multiply
    195,920.96x = 270,373.96 × 114,247
  4. Step 4: Simplify right side
    195,920.96x = 30,889,413,808.12
  5. Step 5: Solve for x
    x = 30,889,413,808.12/195,920.96
  6. Step 6: Final answer
    x = 157,662.63

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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.