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Finding the Fourth Proportional to 263,266.70, 394,784.85 and 105,442.70

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Solution

The fourth proportional to 263,266.70, 394,784.85 and 105,442.70 is: 158,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,266.70 : 394,784.85 = 105,442.70 : x
  2. Step 2: Convert to fraction form
    263,266.70/394,784.85 = 105,442.70/x
  3. Step 3: Cross multiply
    263,266.70x = 394,784.85 × 105,442.70
  4. Step 4: Simplify right side
    263,266.70x = 41,627,180,503.10
  5. Step 5: Solve for x
    x = 41,627,180,503.10/263,266.70
  6. Step 6: Final answer
    x = 158,117.91

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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.