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Finding the Fourth Proportional to 201,308.80, 301,963.20 and 82,919.20

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Solution

The fourth proportional to 201,308.80, 301,963.20 and 82,919.20 is: 124,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,308.80 : 301,963.20 = 82,919.20 : x
  2. Step 2: Convert to fraction form
    201,308.80/301,963.20 = 82,919.20/x
  3. Step 3: Cross multiply
    201,308.80x = 301,963.20 × 82,919.20
  4. Step 4: Simplify right side
    201,308.80x = 25,038,546,973.44
  5. Step 5: Solve for x
    x = 25,038,546,973.44/201,308.80
  6. Step 6: Final answer
    x = 124,378.80

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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.