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Finding the Fourth Proportional to 254,378.40, 381,567.60 and 88,183.20

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Solution

The fourth proportional to 254,378.40, 381,567.60 and 88,183.20 is: 132,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,378.40 : 381,567.60 = 88,183.20 : x
  2. Step 2: Convert to fraction form
    254,378.40/381,567.60 = 88,183.20/x
  3. Step 3: Cross multiply
    254,378.40x = 381,567.60 × 88,183.20
  4. Step 4: Simplify right side
    254,378.40x = 33,647,851,984.32
  5. Step 5: Solve for x
    x = 33,647,851,984.32/254,378.40
  6. Step 6: Final answer
    x = 132,274.80

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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.