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Finding the Fourth Proportional to 253,736.34, 350,193.45 and 146,285.38

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Solution

The fourth proportional to 253,736.34, 350,193.45 and 146,285.38 is: 201,895.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,736.34 : 350,193.45 = 146,285.38 : x
  2. Step 2: Convert to fraction form
    253,736.34/350,193.45 = 146,285.38/x
  3. Step 3: Cross multiply
    253,736.34x = 350,193.45 × 146,285.38
  4. Step 4: Simplify right side
    253,736.34x = 51,228,181,906.76
  5. Step 5: Solve for x
    x = 51,228,181,906.76/253,736.34
  6. Step 6: Final answer
    x = 201,895.33

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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.