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Finding the Fourth Proportional to 210,302.68, 290,234.26 and 119,662.46

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Solution

The fourth proportional to 210,302.68, 290,234.26 and 119,662.46 is: 165,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,302.68 : 290,234.26 = 119,662.46 : x
  2. Step 2: Convert to fraction form
    210,302.68/290,234.26 = 119,662.46/x
  3. Step 3: Cross multiply
    210,302.68x = 290,234.26 × 119,662.46
  4. Step 4: Simplify right side
    210,302.68x = 34,730,147,283.78
  5. Step 5: Solve for x
    x = 34,730,147,283.78/210,302.68
  6. Step 6: Final answer
    x = 165,143.63

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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.