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Finding the Fourth Proportional to 211,334.92, 291,647.76 and 119,446.90

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Solution

The fourth proportional to 211,334.92, 291,647.76 and 119,446.90 is: 164,839.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,334.92 : 291,647.76 = 119,446.90 : x
  2. Step 2: Convert to fraction form
    211,334.92/291,647.76 = 119,446.90/x
  3. Step 3: Cross multiply
    211,334.92x = 291,647.76 × 119,446.90
  4. Step 4: Simplify right side
    211,334.92x = 34,836,420,823.94
  5. Step 5: Solve for x
    x = 34,836,420,823.94/211,334.92
  6. Step 6: Final answer
    x = 164,839.87

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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.