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Finding the Fourth Proportional to 194,250.69, 290,828.21 and 102,859

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Solution

The fourth proportional to 194,250.69, 290,828.21 and 102,859 is: 153,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,250.69 : 290,828.21 = 102,859 : x
  2. Step 2: Convert to fraction form
    194,250.69/290,828.21 = 102,859/x
  3. Step 3: Cross multiply
    194,250.69x = 290,828.21 × 102,859
  4. Step 4: Simplify right side
    194,250.69x = 29,914,298,852.39
  5. Step 5: Solve for x
    x = 29,914,298,852.39/194,250.69
  6. Step 6: Final answer
    x = 153,998.42

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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.