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Finding the Fourth Proportional to 174,961.86, 241,404.39 and 98,466

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Solution

The fourth proportional to 174,961.86, 241,404.39 and 98,466 is: 135,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,961.86 : 241,404.39 = 98,466 : x
  2. Step 2: Convert to fraction form
    174,961.86/241,404.39 = 98,466/x
  3. Step 3: Cross multiply
    174,961.86x = 241,404.39 × 98,466
  4. Step 4: Simplify right side
    174,961.86x = 23,770,124,665.74
  5. Step 5: Solve for x
    x = 23,770,124,665.74/174,961.86
  6. Step 6: Final answer
    x = 135,858.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.