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Finding the Fourth Proportional to 247,127.60, 341,025.25 and 145,163.50

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Solution

The fourth proportional to 247,127.60, 341,025.25 and 145,163.50 is: 200,319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,127.60 : 341,025.25 = 145,163.50 : x
  2. Step 2: Convert to fraction form
    247,127.60/341,025.25 = 145,163.50/x
  3. Step 3: Cross multiply
    247,127.60x = 341,025.25 × 145,163.50
  4. Step 4: Simplify right side
    247,127.60x = 49,504,418,878.38
  5. Step 5: Solve for x
    x = 49,504,418,878.38/247,127.60
  6. Step 6: Final answer
    x = 200,319.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.