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Finding the Fourth Proportional to 613,287.86, 919,867.07 and 164,054.07

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Solution

The fourth proportional to 613,287.86, 919,867.07 and 164,054.07 is: 246,063.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,287.86 : 919,867.07 = 164,054.07 : x
  2. Step 2: Convert to fraction form
    613,287.86/919,867.07 = 164,054.07/x
  3. Step 3: Cross multiply
    613,287.86x = 919,867.07 × 164,054.07
  4. Step 4: Simplify right side
    613,287.86x = 150,907,935,872.21
  5. Step 5: Solve for x
    x = 150,907,935,872.21/613,287.86
  6. Step 6: Final answer
    x = 246,063.79

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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.