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Finding the Fourth Proportional to 262,862.40, 394,077.60 and 113,217.60

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Solution

The fourth proportional to 262,862.40, 394,077.60 and 113,217.60 is: 169,733.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,862.40 : 394,077.60 = 113,217.60 : x
  2. Step 2: Convert to fraction form
    262,862.40/394,077.60 = 113,217.60/x
  3. Step 3: Cross multiply
    262,862.40x = 394,077.60 × 113,217.60
  4. Step 4: Simplify right side
    262,862.40x = 44,616,520,085.76
  5. Step 5: Solve for x
    x = 44,616,520,085.76/262,862.40
  6. Step 6: Final answer
    x = 169,733.37

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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.