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Finding the Fourth Proportional to 253,736.28, 350,193.36 and 146,285.32

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Solution

The fourth proportional to 253,736.28, 350,193.36 and 146,285.32 is: 201,895.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,736.28 : 350,193.36 = 146,285.32 : x
  2. Step 2: Convert to fraction form
    253,736.28/350,193.36 = 146,285.32/x
  3. Step 3: Cross multiply
    253,736.28x = 350,193.36 × 146,285.32
  4. Step 4: Simplify right side
    253,736.28x = 51,228,147,729.48
  5. Step 5: Solve for x
    x = 51,228,147,729.48/253,736.28
  6. Step 6: Final answer
    x = 201,895.24

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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.