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Finding the Fourth Proportional to 227,643.40, 341,724.30 and 134,201.80

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Solution

The fourth proportional to 227,643.40, 341,724.30 and 134,201.80 is: 201,455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,643.40 : 341,724.30 = 134,201.80 : x
  2. Step 2: Convert to fraction form
    227,643.40/341,724.30 = 134,201.80/x
  3. Step 3: Cross multiply
    227,643.40x = 341,724.30 × 134,201.80
  4. Step 4: Simplify right side
    227,643.40x = 45,860,016,163.74
  5. Step 5: Solve for x
    x = 45,860,016,163.74/227,643.40
  6. Step 6: Final answer
    x = 201,455.51

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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.