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Finding the Fourth Proportional to 237,137.67, 355,707.11 and 96,896.30

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Solution

The fourth proportional to 237,137.67, 355,707.11 and 96,896.30 is: 145,344.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,137.67 : 355,707.11 = 96,896.30 : x
  2. Step 2: Convert to fraction form
    237,137.67/355,707.11 = 96,896.30/x
  3. Step 3: Cross multiply
    237,137.67x = 355,707.11 × 96,896.30
  4. Step 4: Simplify right side
    237,137.67x = 34,466,700,579.68
  5. Step 5: Solve for x
    x = 34,466,700,579.68/237,137.67
  6. Step 6: Final answer
    x = 145,344.69

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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.