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Finding the Fourth Proportional to 321,094.16, 481,642.36 and 107,855.96

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Solution

The fourth proportional to 321,094.16, 481,642.36 and 107,855.96 is: 161,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,094.16 : 481,642.36 = 107,855.96 : x
  2. Step 2: Convert to fraction form
    321,094.16/481,642.36 = 107,855.96/x
  3. Step 3: Cross multiply
    321,094.16x = 481,642.36 × 107,855.96
  4. Step 4: Simplify right side
    321,094.16x = 51,947,999,114.47
  5. Step 5: Solve for x
    x = 51,947,999,114.47/321,094.16
  6. Step 6: Final answer
    x = 161,784.32

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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.