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Finding the Fourth Proportional to 193,475.25, 290,212.83 and 126,900

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Solution

The fourth proportional to 193,475.25, 290,212.83 and 126,900 is: 190,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,475.25 : 290,212.83 = 126,900 : x
  2. Step 2: Convert to fraction form
    193,475.25/290,212.83 = 126,900/x
  3. Step 3: Cross multiply
    193,475.25x = 290,212.83 × 126,900
  4. Step 4: Simplify right side
    193,475.25x = 36,828,008,127
  5. Step 5: Solve for x
    x = 36,828,008,127/193,475.25
  6. Step 6: Final answer
    x = 190,349.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.