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Finding the Fourth Proportional to 141,770, 212,694.41 and 61,814.96

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Solution

The fourth proportional to 141,770, 212,694.41 and 61,814.96 is: 92,739.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,770 : 212,694.41 = 61,814.96 : x
  2. Step 2: Convert to fraction form
    141,770/212,694.41 = 61,814.96/x
  3. Step 3: Cross multiply
    141,770x = 212,694.41 × 61,814.96
  4. Step 4: Simplify right side
    141,770x = 13,147,696,446.37
  5. Step 5: Solve for x
    x = 13,147,696,446.37/141,770
  6. Step 6: Final answer
    x = 92,739.62

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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.