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Finding the Fourth Proportional to 196,812.92, 295,187.78 and 70,429.70

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Solution

The fourth proportional to 196,812.92, 295,187.78 and 70,429.70 is: 105,633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,812.92 : 295,187.78 = 70,429.70 : x
  2. Step 2: Convert to fraction form
    196,812.92/295,187.78 = 70,429.70/x
  3. Step 3: Cross multiply
    196,812.92x = 295,187.78 × 70,429.70
  4. Step 4: Simplify right side
    196,812.92x = 20,789,986,789.07
  5. Step 5: Solve for x
    x = 20,789,986,789.07/196,812.92
  6. Step 6: Final answer
    x = 105,633.24

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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.