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Finding the Fourth Proportional to 210,406.17, 290,376.09 and 119,791.47

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Solution

The fourth proportional to 210,406.17, 290,376.09 and 119,791.47 is: 165,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,406.17 : 290,376.09 = 119,791.47 : x
  2. Step 2: Convert to fraction form
    210,406.17/290,376.09 = 119,791.47/x
  3. Step 3: Cross multiply
    210,406.17x = 290,376.09 × 119,791.47
  4. Step 4: Simplify right side
    210,406.17x = 34,784,578,673.95
  5. Step 5: Solve for x
    x = 34,784,578,673.95/210,406.17
  6. Step 6: Final answer
    x = 165,321.10

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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.