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Finding the Fourth Proportional to 214,570.42, 321,855.90 and 74,329.04

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Solution

The fourth proportional to 214,570.42, 321,855.90 and 74,329.04 is: 111,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,570.42 : 321,855.90 = 74,329.04 : x
  2. Step 2: Convert to fraction form
    214,570.42/321,855.90 = 74,329.04/x
  3. Step 3: Cross multiply
    214,570.42x = 321,855.90 × 74,329.04
  4. Step 4: Simplify right side
    214,570.42x = 23,923,240,065.34
  5. Step 5: Solve for x
    x = 23,923,240,065.34/214,570.42
  6. Step 6: Final answer
    x = 111,493.65

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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.