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Finding the Fourth Proportional to 211,456.17, 291,808.17 and 120,839.85

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Solution

The fourth proportional to 211,456.17, 291,808.17 and 120,839.85 is: 166,758.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,456.17 : 291,808.17 = 120,839.85 : x
  2. Step 2: Convert to fraction form
    211,456.17/291,808.17 = 120,839.85/x
  3. Step 3: Cross multiply
    211,456.17x = 291,808.17 × 120,839.85
  4. Step 4: Simplify right side
    211,456.17x = 35,262,055,491.57
  5. Step 5: Solve for x
    x = 35,262,055,491.57/211,456.17
  6. Step 6: Final answer
    x = 166,758.22

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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.