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Finding the Fourth Proportional to 241,199.62, 361,854.54 and 83,427.94

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Solution

The fourth proportional to 241,199.62, 361,854.54 and 83,427.94 is: 125,160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,199.62 : 361,854.54 = 83,427.94 : x
  2. Step 2: Convert to fraction form
    241,199.62/361,854.54 = 83,427.94/x
  3. Step 3: Cross multiply
    241,199.62x = 361,854.54 × 83,427.94
  4. Step 4: Simplify right side
    241,199.62x = 30,188,778,851.85
  5. Step 5: Solve for x
    x = 30,188,778,851.85/241,199.62
  6. Step 6: Final answer
    x = 125,160.97

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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.