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Finding the Fourth Proportional to 230,505.78, 345,675.62 and 97,396.42

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Solution

The fourth proportional to 230,505.78, 345,675.62 and 97,396.42 is: 146,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,505.78 : 345,675.62 = 97,396.42 : x
  2. Step 2: Convert to fraction form
    230,505.78/345,675.62 = 97,396.42/x
  3. Step 3: Cross multiply
    230,505.78x = 345,675.62 × 97,396.42
  4. Step 4: Simplify right side
    230,505.78x = 33,667,567,869.28
  5. Step 5: Solve for x
    x = 33,667,567,869.28/230,505.78
  6. Step 6: Final answer
    x = 146,059.54

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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.