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Finding the Fourth Proportional to 210,198.30, 290,074.14 and 119,552.28

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Solution

The fourth proportional to 210,198.30, 290,074.14 and 119,552.28 is: 164,982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,198.30 : 290,074.14 = 119,552.28 : x
  2. Step 2: Convert to fraction form
    210,198.30/290,074.14 = 119,552.28/x
  3. Step 3: Cross multiply
    210,198.30x = 290,074.14 × 119,552.28
  4. Step 4: Simplify right side
    210,198.30x = 34,679,024,806.04
  5. Step 5: Solve for x
    x = 34,679,024,806.04/210,198.30
  6. Step 6: Final answer
    x = 164,982.42

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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.