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Finding the Fourth Proportional to 141,819, 195,714.27 and 78,160.91

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Solution

The fourth proportional to 141,819, 195,714.27 and 78,160.91 is: 107,864.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,819 : 195,714.27 = 78,160.91 : x
  2. Step 2: Convert to fraction form
    141,819/195,714.27 = 78,160.91/x
  3. Step 3: Cross multiply
    141,819x = 195,714.27 × 78,160.91
  4. Step 4: Simplify right side
    141,819x = 15,297,204,464.61
  5. Step 5: Solve for x
    x = 15,297,204,464.61/141,819
  6. Step 6: Final answer
    x = 107,864.28

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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.