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Finding the Fourth Proportional to 196,957.50, 295,436.61 and 49,213.50

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Solution

The fourth proportional to 196,957.50, 295,436.61 and 49,213.50 is: 73,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,957.50 : 295,436.61 = 49,213.50 : x
  2. Step 2: Convert to fraction form
    196,957.50/295,436.61 = 49,213.50/x
  3. Step 3: Cross multiply
    196,957.50x = 295,436.61 × 49,213.50
  4. Step 4: Simplify right side
    196,957.50x = 14,539,469,606.24
  5. Step 5: Solve for x
    x = 14,539,469,606.24/196,957.50
  6. Step 6: Final answer
    x = 73,820.34

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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.