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Finding the Fourth Proportional to 328,771.64, 493,162.34 and 92,099.36

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Solution

The fourth proportional to 328,771.64, 493,162.34 and 92,099.36 is: 138,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,771.64 : 493,162.34 = 92,099.36 : x
  2. Step 2: Convert to fraction form
    328,771.64/493,162.34 = 92,099.36/x
  3. Step 3: Cross multiply
    328,771.64x = 493,162.34 × 92,099.36
  4. Step 4: Simplify right side
    328,771.64x = 45,419,936,662.51
  5. Step 5: Solve for x
    x = 45,419,936,662.51/328,771.64
  6. Step 6: Final answer
    x = 138,150.41

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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.