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Finding the Fourth Proportional to 237,197.26, 355,793.82 and 96,857.38

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Solution

The fourth proportional to 237,197.26, 355,793.82 and 96,857.38 is: 145,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,197.26 : 355,793.82 = 96,857.38 : x
  2. Step 2: Convert to fraction form
    237,197.26/355,793.82 = 96,857.38/x
  3. Step 3: Cross multiply
    237,197.26x = 355,793.82 × 96,857.38
  4. Step 4: Simplify right side
    237,197.26x = 34,461,257,225.39
  5. Step 5: Solve for x
    x = 34,461,257,225.39/237,197.26
  6. Step 6: Final answer
    x = 145,285.22

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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.