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Finding the Fourth Proportional to 202,728.27, 304,141.86 and 142,873.41

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Solution

The fourth proportional to 202,728.27, 304,141.86 and 142,873.41 is: 214,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,728.27 : 304,141.86 = 142,873.41 : x
  2. Step 2: Convert to fraction form
    202,728.27/304,141.86 = 142,873.41/x
  3. Step 3: Cross multiply
    202,728.27x = 304,141.86 × 142,873.41
  4. Step 4: Simplify right side
    202,728.27x = 43,453,784,661.94
  5. Step 5: Solve for x
    x = 43,453,784,661.94/202,728.27
  6. Step 6: Final answer
    x = 214,344.97

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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.