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Finding the Fourth Proportional to 294,197.73, 405,960.38 and 165,106.59

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Solution

The fourth proportional to 294,197.73, 405,960.38 and 165,106.59 is: 227,828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,197.73 : 405,960.38 = 165,106.59 : x
  2. Step 2: Convert to fraction form
    294,197.73/405,960.38 = 165,106.59/x
  3. Step 3: Cross multiply
    294,197.73x = 405,960.38 × 165,106.59
  4. Step 4: Simplify right side
    294,197.73x = 67,026,734,054.08
  5. Step 5: Solve for x
    x = 67,026,734,054.08/294,197.73
  6. Step 6: Final answer
    x = 227,828.86

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