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Finding the Fourth Proportional to 214,642.80, 321,964.20 and 74,401.41

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Solution

The fourth proportional to 214,642.80, 321,964.20 and 74,401.41 is: 111,602.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,642.80 : 321,964.20 = 74,401.41 : x
  2. Step 2: Convert to fraction form
    214,642.80/321,964.20 = 74,401.41/x
  3. Step 3: Cross multiply
    214,642.80x = 321,964.20 × 74,401.41
  4. Step 4: Simplify right side
    214,642.80x = 23,954,590,449.52
  5. Step 5: Solve for x
    x = 23,954,590,449.52/214,642.80
  6. Step 6: Final answer
    x = 111,602.12

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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.