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Finding the Fourth Proportional to 294,121.02, 405,872.19 and 166,808.46

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Solution

The fourth proportional to 294,121.02, 405,872.19 and 166,808.46 is: 230,187.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,121.02 : 405,872.19 = 166,808.46 : x
  2. Step 2: Convert to fraction form
    294,121.02/405,872.19 = 166,808.46/x
  3. Step 3: Cross multiply
    294,121.02x = 405,872.19 × 166,808.46
  4. Step 4: Simplify right side
    294,121.02x = 67,702,914,970.73
  5. Step 5: Solve for x
    x = 67,702,914,970.73/294,121.02
  6. Step 6: Final answer
    x = 230,187.27

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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.