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Finding the Fourth Proportional to 294,047.87, 405,793.06 and 164,995.89

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Solution

The fourth proportional to 294,047.87, 405,793.06 and 164,995.89 is: 227,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,047.87 : 405,793.06 = 164,995.89 : x
  2. Step 2: Convert to fraction form
    294,047.87/405,793.06 = 164,995.89/x
  3. Step 3: Cross multiply
    294,047.87x = 405,793.06 × 164,995.89
  4. Step 4: Simplify right side
    294,047.87x = 66,954,187,890.39
  5. Step 5: Solve for x
    x = 66,954,187,890.39/294,047.87
  6. Step 6: Final answer
    x = 227,698.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.