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Finding the Fourth Proportional to 214,880.80, 322,321.20 and 190,919.20

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Solution

The fourth proportional to 214,880.80, 322,321.20 and 190,919.20 is: 286,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,880.80 : 322,321.20 = 190,919.20 : x
  2. Step 2: Convert to fraction form
    214,880.80/322,321.20 = 190,919.20/x
  3. Step 3: Cross multiply
    214,880.80x = 322,321.20 × 190,919.20
  4. Step 4: Simplify right side
    214,880.80x = 61,537,305,647.04
  5. Step 5: Solve for x
    x = 61,537,305,647.04/214,880.80
  6. Step 6: Final answer
    x = 286,378.80

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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.