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Finding the Fourth Proportional to 241,966.80, 362,512.80 and 206,974.80

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Solution

The fourth proportional to 241,966.80, 362,512.80 and 206,974.80 is: 310,088.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,966.80 : 362,512.80 = 206,974.80 : x
  2. Step 2: Convert to fraction form
    241,966.80/362,512.80 = 206,974.80/x
  3. Step 3: Cross multiply
    241,966.80x = 362,512.80 × 206,974.80
  4. Step 4: Simplify right side
    241,966.80x = 75,031,014,277.44
  5. Step 5: Solve for x
    x = 75,031,014,277.44/241,966.80
  6. Step 6: Final answer
    x = 310,088.05

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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.