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Finding the Fourth Proportional to 157,396.05, 217,200.22 and 85,774.52

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Solution

The fourth proportional to 157,396.05, 217,200.22 and 85,774.52 is: 118,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,396.05 : 217,200.22 = 85,774.52 : x
  2. Step 2: Convert to fraction form
    157,396.05/217,200.22 = 85,774.52/x
  3. Step 3: Cross multiply
    157,396.05x = 217,200.22 × 85,774.52
  4. Step 4: Simplify right side
    157,396.05x = 18,630,244,942.96
  5. Step 5: Solve for x
    x = 18,630,244,942.96/157,396.05
  6. Step 6: Final answer
    x = 118,365.39

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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.