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Finding the Fourth Proportional to 196,866.50, 295,059.83 and 102,044.40

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Solution

The fourth proportional to 196,866.50, 295,059.83 and 102,044.40 is: 152,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,866.50 : 295,059.83 = 102,044.40 : x
  2. Step 2: Convert to fraction form
    196,866.50/295,059.83 = 102,044.40/x
  3. Step 3: Cross multiply
    196,866.50x = 295,059.83 × 102,044.40
  4. Step 4: Simplify right side
    196,866.50x = 30,109,203,571.56
  5. Step 5: Solve for x
    x = 30,109,203,571.56/196,866.50
  6. Step 6: Final answer
    x = 152,942.24

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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.