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Finding the Fourth Proportional to 262,948.14, 394,137.86 and 105,003

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Solution

The fourth proportional to 262,948.14, 394,137.86 and 105,003 is: 157,390.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,948.14 : 394,137.86 = 105,003 : x
  2. Step 2: Convert to fraction form
    262,948.14/394,137.86 = 105,003/x
  3. Step 3: Cross multiply
    262,948.14x = 394,137.86 × 105,003
  4. Step 4: Simplify right side
    262,948.14x = 41,385,657,188.57
  5. Step 5: Solve for x
    x = 41,385,657,188.57/262,948.14
  6. Step 6: Final answer
    x = 157,390.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.