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Finding the Fourth Proportional to 321,225.12, 481,914.24 and 110,864.88

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Solution

The fourth proportional to 321,225.12, 481,914.24 and 110,864.88 is: 166,323.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,225.12 : 481,914.24 = 110,864.88 : x
  2. Step 2: Convert to fraction form
    321,225.12/481,914.24 = 110,864.88/x
  3. Step 3: Cross multiply
    321,225.12x = 481,914.24 × 110,864.88
  4. Step 4: Simplify right side
    321,225.12x = 53,427,364,387.89
  5. Step 5: Solve for x
    x = 53,427,364,387.89/321,225.12
  6. Step 6: Final answer
    x = 166,323.74

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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.