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Finding the Fourth Proportional to 331,036.96, 456,751.36 and 195,076.48

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Solution

The fourth proportional to 331,036.96, 456,751.36 and 195,076.48 is: 269,158.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,036.96 : 456,751.36 = 195,076.48 : x
  2. Step 2: Convert to fraction form
    331,036.96/456,751.36 = 195,076.48/x
  3. Step 3: Cross multiply
    331,036.96x = 456,751.36 × 195,076.48
  4. Step 4: Simplify right side
    331,036.96x = 89,101,447,544.01
  5. Step 5: Solve for x
    x = 89,101,447,544.01/331,036.96
  6. Step 6: Final answer
    x = 269,158.61

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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.