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Finding the Fourth Proportional to 200,558.52, 300,760.02 and 107,013.24

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Solution

The fourth proportional to 200,558.52, 300,760.02 and 107,013.24 is: 160,478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,558.52 : 300,760.02 = 107,013.24 : x
  2. Step 2: Convert to fraction form
    200,558.52/300,760.02 = 107,013.24/x
  3. Step 3: Cross multiply
    200,558.52x = 300,760.02 × 107,013.24
  4. Step 4: Simplify right side
    200,558.52x = 32,185,304,202.66
  5. Step 5: Solve for x
    x = 32,185,304,202.66/200,558.52
  6. Step 6: Final answer
    x = 160,478.37

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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.