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Finding the Fourth Proportional to 210,821.67, 290,949.69 and 120,179.79

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Solution

The fourth proportional to 210,821.67, 290,949.69 and 120,179.79 is: 165,857.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,821.67 : 290,949.69 = 120,179.79 : x
  2. Step 2: Convert to fraction form
    210,821.67/290,949.69 = 120,179.79/x
  3. Step 3: Cross multiply
    210,821.67x = 290,949.69 × 120,179.79
  4. Step 4: Simplify right side
    210,821.67x = 34,966,272,644.77
  5. Step 5: Solve for x
    x = 34,966,272,644.77/210,821.67
  6. Step 6: Final answer
    x = 165,857.11

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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.