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Finding the Fourth Proportional to 202,734, 304,239.24 and 71,406

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Solution

The fourth proportional to 202,734, 304,239.24 and 71,406 is: 107,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,734 : 304,239.24 = 71,406 : x
  2. Step 2: Convert to fraction form
    202,734/304,239.24 = 71,406/x
  3. Step 3: Cross multiply
    202,734x = 304,239.24 × 71,406
  4. Step 4: Simplify right side
    202,734x = 21,724,507,171.44
  5. Step 5: Solve for x
    x = 21,724,507,171.44/202,734
  6. Step 6: Final answer
    x = 107,157.69

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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.