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Finding the Fourth Proportional to 196,144.60, 294,255.30 and 83,824.60

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Solution

The fourth proportional to 196,144.60, 294,255.30 and 83,824.60 is: 125,753.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,144.60 : 294,255.30 = 83,824.60 : x
  2. Step 2: Convert to fraction form
    196,144.60/294,255.30 = 83,824.60/x
  3. Step 3: Cross multiply
    196,144.60x = 294,255.30 × 83,824.60
  4. Step 4: Simplify right side
    196,144.60x = 24,665,832,820.38
  5. Step 5: Solve for x
    x = 24,665,832,820.38/196,144.60
  6. Step 6: Final answer
    x = 125,753.31

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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.