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Finding the Fourth Proportional to 196,504.65, 294,819.24 and 70,142.09

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Solution

The fourth proportional to 196,504.65, 294,819.24 and 70,142.09 is: 105,235.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,504.65 : 294,819.24 = 70,142.09 : x
  2. Step 2: Convert to fraction form
    196,504.65/294,819.24 = 70,142.09/x
  3. Step 3: Cross multiply
    196,504.65x = 294,819.24 × 70,142.09
  4. Step 4: Simplify right side
    196,504.65x = 20,679,237,665.81
  5. Step 5: Solve for x
    x = 20,679,237,665.81/196,504.65
  6. Step 6: Final answer
    x = 105,235.36

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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.