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Finding the Fourth Proportional to 196,783.87, 294,795.30 and 164,814.37

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Solution

The fourth proportional to 196,783.87, 294,795.30 and 164,814.37 is: 246,902.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,783.87 : 294,795.30 = 164,814.37 : x
  2. Step 2: Convert to fraction form
    196,783.87/294,795.30 = 164,814.37/x
  3. Step 3: Cross multiply
    196,783.87x = 294,795.30 × 164,814.37
  4. Step 4: Simplify right side
    196,783.87x = 48,586,501,648.46
  5. Step 5: Solve for x
    x = 48,586,501,648.46/196,783.87
  6. Step 6: Final answer
    x = 246,902.87

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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.