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Finding the Fourth Proportional to 416,127.94, 624,139.30 and 131,847.34

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Solution

The fourth proportional to 416,127.94, 624,139.30 and 131,847.34 is: 197,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,127.94 : 624,139.30 = 131,847.34 : x
  2. Step 2: Convert to fraction form
    416,127.94/624,139.30 = 131,847.34/x
  3. Step 3: Cross multiply
    416,127.94x = 624,139.30 × 131,847.34
  4. Step 4: Simplify right side
    416,127.94x = 82,291,104,604.50
  5. Step 5: Solve for x
    x = 82,291,104,604.50/416,127.94
  6. Step 6: Final answer
    x = 197,754.34

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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.