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Finding the Fourth Proportional to 253,676.16, 350,107.38 and 146,244.24

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Solution

The fourth proportional to 253,676.16, 350,107.38 and 146,244.24 is: 201,836.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,676.16 : 350,107.38 = 146,244.24 : x
  2. Step 2: Convert to fraction form
    253,676.16/350,107.38 = 146,244.24/x
  3. Step 3: Cross multiply
    253,676.16x = 350,107.38 × 146,244.24
  4. Step 4: Simplify right side
    253,676.16x = 51,201,187,706.49
  5. Step 5: Solve for x
    x = 51,201,187,706.49/253,676.16
  6. Step 6: Final answer
    x = 201,836.81

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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.