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Finding the Fourth Proportional to 227,446.64, 340,893.18 and 160,905.98

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Solution

The fourth proportional to 227,446.64, 340,893.18 and 160,905.98 is: 241,163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,446.64 : 340,893.18 = 160,905.98 : x
  2. Step 2: Convert to fraction form
    227,446.64/340,893.18 = 160,905.98/x
  3. Step 3: Cross multiply
    227,446.64x = 340,893.18 × 160,905.98
  4. Step 4: Simplify right side
    227,446.64x = 54,851,751,203.22
  5. Step 5: Solve for x
    x = 54,851,751,203.22/227,446.64
  6. Step 6: Final answer
    x = 241,163.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.