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Finding the Fourth Proportional to 331,059.52, 456,824.92 and 195,084.64

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Solution

The fourth proportional to 331,059.52, 456,824.92 and 195,084.64 is: 269,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,059.52 : 456,824.92 = 195,084.64 : x
  2. Step 2: Convert to fraction form
    331,059.52/456,824.92 = 195,084.64/x
  3. Step 3: Cross multiply
    331,059.52x = 456,824.92 × 195,084.64
  4. Step 4: Simplify right side
    331,059.52x = 89,119,525,061.23
  5. Step 5: Solve for x
    x = 89,119,525,061.23/331,059.52
  6. Step 6: Final answer
    x = 269,194.87

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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.