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Finding the Fourth Proportional to 241,966.20, 363,022.20 and 171,982.20

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Solution

The fourth proportional to 241,966.20, 363,022.20 and 171,982.20 is: 258,025.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,966.20 : 363,022.20 = 171,982.20 : x
  2. Step 2: Convert to fraction form
    241,966.20/363,022.20 = 171,982.20/x
  3. Step 3: Cross multiply
    241,966.20x = 363,022.20 × 171,982.20
  4. Step 4: Simplify right side
    241,966.20x = 62,433,356,604.84
  5. Step 5: Solve for x
    x = 62,433,356,604.84/241,966.20
  6. Step 6: Final answer
    x = 258,025.12

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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.