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Finding the Fourth Proportional to 165,644, 228,576.96 and 94,025.44

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Solution

The fourth proportional to 165,644, 228,576.96 and 94,025.44 is: 129,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,644 : 228,576.96 = 94,025.44 : x
  2. Step 2: Convert to fraction form
    165,644/228,576.96 = 94,025.44/x
  3. Step 3: Cross multiply
    165,644x = 228,576.96 × 94,025.44
  4. Step 4: Simplify right side
    165,644x = 21,492,049,237.86
  5. Step 5: Solve for x
    x = 21,492,049,237.86/165,644
  6. Step 6: Final answer
    x = 129,748.43

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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.