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Finding the Fourth Proportional to 202,614.71, 303,650.39 and 157,690.31

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Solution

The fourth proportional to 202,614.71, 303,650.39 and 157,690.31 is: 236,324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,614.71 : 303,650.39 = 157,690.31 : x
  2. Step 2: Convert to fraction form
    202,614.71/303,650.39 = 157,690.31/x
  3. Step 3: Cross multiply
    202,614.71x = 303,650.39 × 157,690.31
  4. Step 4: Simplify right side
    202,614.71x = 47,882,725,284.07
  5. Step 5: Solve for x
    x = 47,882,725,284.07/202,614.71
  6. Step 6: Final answer
    x = 236,324.04

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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.