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Finding the Fourth Proportional to 210,283.20, 290,197.62 and 119,636.91

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Solution

The fourth proportional to 210,283.20, 290,197.62 and 119,636.91 is: 165,102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,283.20 : 290,197.62 = 119,636.91 : x
  2. Step 2: Convert to fraction form
    210,283.20/290,197.62 = 119,636.91/x
  3. Step 3: Cross multiply
    210,283.20x = 290,197.62 × 119,636.91
  4. Step 4: Simplify right side
    210,283.20x = 34,718,346,546.15
  5. Step 5: Solve for x
    x = 34,718,346,546.15/210,283.20
  6. Step 6: Final answer
    x = 165,102.81

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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.