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Finding the Fourth Proportional to 202,614.38, 303,649.90 and 157,689.98

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Solution

The fourth proportional to 202,614.38, 303,649.90 and 157,689.98 is: 236,323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,614.38 : 303,649.90 = 157,689.98 : x
  2. Step 2: Convert to fraction form
    202,614.38/303,649.90 = 157,689.98/x
  3. Step 3: Cross multiply
    202,614.38x = 303,649.90 × 157,689.98
  4. Step 4: Simplify right side
    202,614.38x = 47,882,546,658.00
  5. Step 5: Solve for x
    x = 47,882,546,658.00/202,614.38
  6. Step 6: Final answer
    x = 236,323.54

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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.