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Finding the Fourth Proportional to 262,957.20, 393,982.20 and 122,427.60

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Solution

The fourth proportional to 262,957.20, 393,982.20 and 122,427.60 is: 183,430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,957.20 : 393,982.20 = 122,427.60 : x
  2. Step 2: Convert to fraction form
    262,957.20/393,982.20 = 122,427.60/x
  3. Step 3: Cross multiply
    262,957.20x = 393,982.20 × 122,427.60
  4. Step 4: Simplify right side
    262,957.20x = 48,234,295,188.72
  5. Step 5: Solve for x
    x = 48,234,295,188.72/262,957.20
  6. Step 6: Final answer
    x = 183,430.21

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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.