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Finding the Fourth Proportional to 165,204.72, 227,978.08 and 97,225.70

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Solution

The fourth proportional to 165,204.72, 227,978.08 and 97,225.70 is: 134,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,204.72 : 227,978.08 = 97,225.70 : x
  2. Step 2: Convert to fraction form
    165,204.72/227,978.08 = 97,225.70/x
  3. Step 3: Cross multiply
    165,204.72x = 227,978.08 × 97,225.70
  4. Step 4: Simplify right side
    165,204.72x = 22,165,327,029.70
  5. Step 5: Solve for x
    x = 22,165,327,029.70/165,204.72
  6. Step 6: Final answer
    x = 134,168.85

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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.