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Finding the Fourth Proportional to 321,133.50, 481,708.04 and 107,904.47

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Solution

The fourth proportional to 321,133.50, 481,708.04 and 107,904.47 is: 161,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,133.50 : 481,708.04 = 107,904.47 : x
  2. Step 2: Convert to fraction form
    321,133.50/481,708.04 = 107,904.47/x
  3. Step 3: Cross multiply
    321,133.50x = 481,708.04 × 107,904.47
  4. Step 4: Simplify right side
    321,133.50x = 51,978,450,750.94
  5. Step 5: Solve for x
    x = 51,978,450,750.94/321,133.50
  6. Step 6: Final answer
    x = 161,859.32

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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.