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Finding the Fourth Proportional to 293,730.26, 405,346.34 and 166,405.55

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Solution

The fourth proportional to 293,730.26, 405,346.34 and 166,405.55 is: 229,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,730.26 : 405,346.34 = 166,405.55 : x
  2. Step 2: Convert to fraction form
    293,730.26/405,346.34 = 166,405.55/x
  3. Step 3: Cross multiply
    293,730.26x = 405,346.34 × 166,405.55
  4. Step 4: Simplify right side
    293,730.26x = 67,451,879,037.47
  5. Step 5: Solve for x
    x = 67,451,879,037.47/293,730.26
  6. Step 6: Final answer
    x = 229,638.85

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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.