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Finding the Fourth Proportional to 321,071.72, 481,639.26 and 110,681.96

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Solution

The fourth proportional to 321,071.72, 481,639.26 and 110,681.96 is: 166,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,071.72 : 481,639.26 = 110,681.96 : x
  2. Step 2: Convert to fraction form
    321,071.72/481,639.26 = 110,681.96/x
  3. Step 3: Cross multiply
    321,071.72x = 481,639.26 × 110,681.96
  4. Step 4: Simplify right side
    321,071.72x = 53,308,777,309.75
  5. Step 5: Solve for x
    x = 53,308,777,309.75/321,071.72
  6. Step 6: Final answer
    x = 166,033.86

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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.