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Finding the Fourth Proportional to 210,605.64, 290,634.57 and 119,965.41

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Solution

The fourth proportional to 210,605.64, 290,634.57 and 119,965.41 is: 165,551.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,605.64 : 290,634.57 = 119,965.41 : x
  2. Step 2: Convert to fraction form
    210,605.64/290,634.57 = 119,965.41/x
  3. Step 3: Cross multiply
    210,605.64x = 290,634.57 × 119,965.41
  4. Step 4: Simplify right side
    210,605.64x = 34,866,095,350.22
  5. Step 5: Solve for x
    x = 34,866,095,350.22/210,605.64
  6. Step 6: Final answer
    x = 165,551.57

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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.