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Finding the Fourth Proportional to 263,370.40, 394,909.80 and 105,420.40

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Solution

The fourth proportional to 263,370.40, 394,909.80 and 105,420.40 is: 158,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,370.40 : 394,909.80 = 105,420.40 : x
  2. Step 2: Convert to fraction form
    263,370.40/394,909.80 = 105,420.40/x
  3. Step 3: Cross multiply
    263,370.40x = 394,909.80 × 105,420.40
  4. Step 4: Simplify right side
    263,370.40x = 41,631,549,079.92
  5. Step 5: Solve for x
    x = 41,631,549,079.92/263,370.40
  6. Step 6: Final answer
    x = 158,072.24

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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.