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Finding the Fourth Proportional to 241,231.97, 361,862.06 and 81,294.50

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Solution

The fourth proportional to 241,231.97, 361,862.06 and 81,294.50 is: 121,946.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,231.97 : 361,862.06 = 81,294.50 : x
  2. Step 2: Convert to fraction form
    241,231.97/361,862.06 = 81,294.50/x
  3. Step 3: Cross multiply
    241,231.97x = 361,862.06 × 81,294.50
  4. Step 4: Simplify right side
    241,231.97x = 29,417,393,020.89
  5. Step 5: Solve for x
    x = 29,417,393,020.89/241,231.97
  6. Step 6: Final answer
    x = 121,946.50

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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.