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Finding the Fourth Proportional to 214,908.33, 322,401.41 and 70,821.84

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Solution

The fourth proportional to 214,908.33, 322,401.41 and 70,821.84 is: 106,245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,908.33 : 322,401.41 = 70,821.84 : x
  2. Step 2: Convert to fraction form
    214,908.33/322,401.41 = 70,821.84/x
  3. Step 3: Cross multiply
    214,908.33x = 322,401.41 × 70,821.84
  4. Step 4: Simplify right side
    214,908.33x = 22,833,061,074.79
  5. Step 5: Solve for x
    x = 22,833,061,074.79/214,908.33
  6. Step 6: Final answer
    x = 106,245.58

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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.