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Finding the Fourth Proportional to 194,474.79, 268,354.22 and 119,008.71

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Solution

The fourth proportional to 194,474.79, 268,354.22 and 119,008.71 is: 164,219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,474.79 : 268,354.22 = 119,008.71 : x
  2. Step 2: Convert to fraction form
    194,474.79/268,354.22 = 119,008.71/x
  3. Step 3: Cross multiply
    194,474.79x = 268,354.22 × 119,008.71
  4. Step 4: Simplify right side
    194,474.79x = 31,936,488,950.21
  5. Step 5: Solve for x
    x = 31,936,488,950.21/194,474.79
  6. Step 6: Final answer
    x = 164,219.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.