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Finding the Fourth Proportional to 241,534.80, 361,864.80 and 206,542.80

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Solution

The fourth proportional to 241,534.80, 361,864.80 and 206,542.80 is: 309,440.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,534.80 : 361,864.80 = 206,542.80 : x
  2. Step 2: Convert to fraction form
    241,534.80/361,864.80 = 206,542.80/x
  3. Step 3: Cross multiply
    241,534.80x = 361,864.80 × 206,542.80
  4. Step 4: Simplify right side
    241,534.80x = 74,740,569,013.44
  5. Step 5: Solve for x
    x = 74,740,569,013.44/241,534.80
  6. Step 6: Final answer
    x = 309,440.17

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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.