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Finding the Fourth Proportional to 241,460.74, 361,969.36 and 83,578.78

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Solution

The fourth proportional to 241,460.74, 361,969.36 and 83,578.78 is: 125,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,460.74 : 361,969.36 = 83,578.78 : x
  2. Step 2: Convert to fraction form
    241,460.74/361,969.36 = 83,578.78/x
  3. Step 3: Cross multiply
    241,460.74x = 361,969.36 × 83,578.78
  4. Step 4: Simplify right side
    241,460.74x = 30,252,957,506.18
  5. Step 5: Solve for x
    x = 30,252,957,506.18/241,460.74
  6. Step 6: Final answer
    x = 125,291.41

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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.