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Finding the Fourth Proportional to 209,926.38, 289,687.41 and 119,269.74

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Solution

The fourth proportional to 209,926.38, 289,687.41 and 119,269.74 is: 164,585.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,926.38 : 289,687.41 = 119,269.74 : x
  2. Step 2: Convert to fraction form
    209,926.38/289,687.41 = 119,269.74/x
  3. Step 3: Cross multiply
    209,926.38x = 289,687.41 × 119,269.74
  4. Step 4: Simplify right side
    209,926.38x = 34,550,942,071.97
  5. Step 5: Solve for x
    x = 34,550,942,071.97/209,926.38
  6. Step 6: Final answer
    x = 164,585.99

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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.