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Finding the Fourth Proportional to 214,571.42, 321,857.40 and 74,330.04

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Solution

The fourth proportional to 214,571.42, 321,857.40 and 74,330.04 is: 111,495.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,571.42 : 321,857.40 = 74,330.04 : x
  2. Step 2: Convert to fraction form
    214,571.42/321,857.40 = 74,330.04/x
  3. Step 3: Cross multiply
    214,571.42x = 321,857.40 × 74,330.04
  4. Step 4: Simplify right side
    214,571.42x = 23,923,673,416.30
  5. Step 5: Solve for x
    x = 23,923,673,416.30/214,571.42
  6. Step 6: Final answer
    x = 111,495.15

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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.