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Finding the Fourth Proportional to 141,267, 194,962.16 and 80,846.26

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Solution

The fourth proportional to 141,267, 194,962.16 and 80,846.26 is: 111,575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,267 : 194,962.16 = 80,846.26 : x
  2. Step 2: Convert to fraction form
    141,267/194,962.16 = 80,846.26/x
  3. Step 3: Cross multiply
    141,267x = 194,962.16 × 80,846.26
  4. Step 4: Simplify right side
    141,267x = 15,761,961,477.52
  5. Step 5: Solve for x
    x = 15,761,961,477.52/141,267
  6. Step 6: Final answer
    x = 111,575.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.