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Finding the Fourth Proportional to 210,690.57, 290,753.01 and 115,197.33

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Solution

The fourth proportional to 210,690.57, 290,753.01 and 115,197.33 is: 158,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,690.57 : 290,753.01 = 115,197.33 : x
  2. Step 2: Convert to fraction form
    210,690.57/290,753.01 = 115,197.33/x
  3. Step 3: Cross multiply
    210,690.57x = 290,753.01 × 115,197.33
  4. Step 4: Simplify right side
    210,690.57x = 33,493,970,441.46
  5. Step 5: Solve for x
    x = 33,493,970,441.46/210,690.57
  6. Step 6: Final answer
    x = 158,972.33

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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.