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Finding the Fourth Proportional to 205,490.70, 308,231.73 and 94,682.70

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Solution

The fourth proportional to 205,490.70, 308,231.73 and 94,682.70 is: 142,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,490.70 : 308,231.73 = 94,682.70 : x
  2. Step 2: Convert to fraction form
    205,490.70/308,231.73 = 94,682.70/x
  3. Step 3: Cross multiply
    205,490.70x = 308,231.73 × 94,682.70
  4. Step 4: Simplify right side
    205,490.70x = 29,184,212,422.07
  5. Step 5: Solve for x
    x = 29,184,212,422.07/205,490.70
  6. Step 6: Final answer
    x = 142,022.06

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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.