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Finding the Fourth Proportional to 202,724.58, 304,238.33 and 76,489.32

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Solution

The fourth proportional to 202,724.58, 304,238.33 and 76,489.32 is: 114,791.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,724.58 : 304,238.33 = 76,489.32 : x
  2. Step 2: Convert to fraction form
    202,724.58/304,238.33 = 76,489.32/x
  3. Step 3: Cross multiply
    202,724.58x = 304,238.33 × 76,489.32
  4. Step 4: Simplify right side
    202,724.58x = 23,270,982,979.64
  5. Step 5: Solve for x
    x = 23,270,982,979.64/202,724.58
  6. Step 6: Final answer
    x = 114,791.13

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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.