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Finding the Fourth Proportional to 210,274.96, 290,183.52 and 114,790

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Solution

The fourth proportional to 210,274.96, 290,183.52 and 114,790 is: 158,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,274.96 : 290,183.52 = 114,790 : x
  2. Step 2: Convert to fraction form
    210,274.96/290,183.52 = 114,790/x
  3. Step 3: Cross multiply
    210,274.96x = 290,183.52 × 114,790
  4. Step 4: Simplify right side
    210,274.96x = 33,310,166,260.80
  5. Step 5: Solve for x
    x = 33,310,166,260.80/210,274.96
  6. Step 6: Final answer
    x = 158,412.42

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