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Finding the Fourth Proportional to 205,994.24, 308,693.28 and 100,694.24

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Solution

The fourth proportional to 205,994.24, 308,693.28 and 100,694.24 is: 150,895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,994.24 : 308,693.28 = 100,694.24 : x
  2. Step 2: Convert to fraction form
    205,994.24/308,693.28 = 100,694.24/x
  3. Step 3: Cross multiply
    205,994.24x = 308,693.28 × 100,694.24
  4. Step 4: Simplify right side
    205,994.24x = 31,083,635,222.71
  5. Step 5: Solve for x
    x = 31,083,635,222.71/205,994.24
  6. Step 6: Final answer
    x = 150,895.65

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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.