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Finding the Fourth Proportional to 262,970.40, 394,455.60 and 122,743.20

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Solution

The fourth proportional to 262,970.40, 394,455.60 and 122,743.20 is: 184,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,970.40 : 394,455.60 = 122,743.20 : x
  2. Step 2: Convert to fraction form
    262,970.40/394,455.60 = 122,743.20/x
  3. Step 3: Cross multiply
    262,970.40x = 394,455.60 × 122,743.20
  4. Step 4: Simplify right side
    262,970.40x = 48,416,742,601.92
  5. Step 5: Solve for x
    x = 48,416,742,601.92/262,970.40
  6. Step 6: Final answer
    x = 184,114.80

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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.