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Finding the Fourth Proportional to 189,782.94, 261,892.53 and 113,314.44

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Solution

The fourth proportional to 189,782.94, 261,892.53 and 113,314.44 is: 156,369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,782.94 : 261,892.53 = 113,314.44 : x
  2. Step 2: Convert to fraction form
    189,782.94/261,892.53 = 113,314.44/x
  3. Step 3: Cross multiply
    189,782.94x = 261,892.53 × 113,314.44
  4. Step 4: Simplify right side
    189,782.94x = 29,676,205,377.13
  5. Step 5: Solve for x
    x = 29,676,205,377.13/189,782.94
  6. Step 6: Final answer
    x = 156,369.19

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Why These Related Problems?

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