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Finding the Fourth Proportional to 237,138.26, 355,708 and 96,896.89

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Solution

The fourth proportional to 237,138.26, 355,708 and 96,896.89 is: 145,345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,138.26 : 355,708 = 96,896.89 : x
  2. Step 2: Convert to fraction form
    237,138.26/355,708 = 96,896.89/x
  3. Step 3: Cross multiply
    237,138.26x = 355,708 × 96,896.89
  4. Step 4: Simplify right side
    237,138.26x = 34,466,997,169.58
  5. Step 5: Solve for x
    x = 34,466,997,169.58/237,138.26
  6. Step 6: Final answer
    x = 145,345.58

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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.