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Finding the Fourth Proportional to 209,850.66, 314,820.97 and 67,704.03

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Solution

The fourth proportional to 209,850.66, 314,820.97 and 67,704.03 is: 101,570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,850.66 : 314,820.97 = 67,704.03 : x
  2. Step 2: Convert to fraction form
    209,850.66/314,820.97 = 67,704.03/x
  3. Step 3: Cross multiply
    209,850.66x = 314,820.97 × 67,704.03
  4. Step 4: Simplify right side
    209,850.66x = 21,314,648,228.25
  5. Step 5: Solve for x
    x = 21,314,648,228.25/209,850.66
  6. Step 6: Final answer
    x = 101,570.56

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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.