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Finding the Fourth Proportional to 294,107.64, 405,910.62 and 165,059.88

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Solution

The fourth proportional to 294,107.64, 405,910.62 and 165,059.88 is: 227,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,107.64 : 405,910.62 = 165,059.88 : x
  2. Step 2: Convert to fraction form
    294,107.64/405,910.62 = 165,059.88/x
  3. Step 3: Cross multiply
    294,107.64x = 405,910.62 × 165,059.88
  4. Step 4: Simplify right side
    294,107.64x = 66,999,558,227.93
  5. Step 5: Solve for x
    x = 66,999,558,227.93/294,107.64
  6. Step 6: Final answer
    x = 227,806.25

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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.