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Finding the Fourth Proportional to 194,248.69, 290,825.21 and 102,857.00

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Solution

The fourth proportional to 194,248.69, 290,825.21 and 102,857.00 is: 153,995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,248.69 : 290,825.21 = 102,857.00 : x
  2. Step 2: Convert to fraction form
    194,248.69/290,825.21 = 102,857.00/x
  3. Step 3: Cross multiply
    194,248.69x = 290,825.21 × 102,857.00
  4. Step 4: Simplify right side
    194,248.69x = 29,913,407,427.99
  5. Step 5: Solve for x
    x = 29,913,407,427.99/194,248.69
  6. Step 6: Final answer
    x = 153,995.42

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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.