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Finding the Fourth Proportional to 254,564.40, 381,846.60 and 128,593.20

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Solution

The fourth proportional to 254,564.40, 381,846.60 and 128,593.20 is: 192,889.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,564.40 : 381,846.60 = 128,593.20 : x
  2. Step 2: Convert to fraction form
    254,564.40/381,846.60 = 128,593.20/x
  3. Step 3: Cross multiply
    254,564.40x = 381,846.60 × 128,593.20
  4. Step 4: Simplify right side
    254,564.40x = 49,102,876,203.12
  5. Step 5: Solve for x
    x = 49,102,876,203.12/254,564.40
  6. Step 6: Final answer
    x = 192,889.80

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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.