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Finding the Fourth Proportional to 262,806.60, 394,209.90 and 152,214.60

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Solution

The fourth proportional to 262,806.60, 394,209.90 and 152,214.60 is: 228,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,806.60 : 394,209.90 = 152,214.60 : x
  2. Step 2: Convert to fraction form
    262,806.60/394,209.90 = 152,214.60/x
  3. Step 3: Cross multiply
    262,806.60x = 394,209.90 × 152,214.60
  4. Step 4: Simplify right side
    262,806.60x = 60,004,502,244.54
  5. Step 5: Solve for x
    x = 60,004,502,244.54/262,806.60
  6. Step 6: Final answer
    x = 228,321.90

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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.