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Finding the Fourth Proportional to 241,993.20, 363,062.70 and 172,009.20

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Solution

The fourth proportional to 241,993.20, 363,062.70 and 172,009.20 is: 258,065.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,993.20 : 363,062.70 = 172,009.20 : x
  2. Step 2: Convert to fraction form
    241,993.20/363,062.70 = 172,009.20/x
  3. Step 3: Cross multiply
    241,993.20x = 363,062.70 × 172,009.20
  4. Step 4: Simplify right side
    241,993.20x = 62,450,124,576.84
  5. Step 5: Solve for x
    x = 62,450,124,576.84/241,993.20
  6. Step 6: Final answer
    x = 258,065.62

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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.