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Finding the Fourth Proportional to 196,883.08, 295,071.90 and 171,478.60

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Solution

The fourth proportional to 196,883.08, 295,071.90 and 171,478.60 is: 256,997.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,883.08 : 295,071.90 = 171,478.60 : x
  2. Step 2: Convert to fraction form
    196,883.08/295,071.90 = 171,478.60/x
  3. Step 3: Cross multiply
    196,883.08x = 295,071.90 × 171,478.60
  4. Step 4: Simplify right side
    196,883.08x = 50,598,516,311.34
  5. Step 5: Solve for x
    x = 50,598,516,311.34/196,883.08
  6. Step 6: Final answer
    x = 256,997.79

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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.