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Finding the Fourth Proportional to 209,873.73, 289,626.74 and 119,234.67

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Solution

The fourth proportional to 209,873.73, 289,626.74 and 119,234.67 is: 164,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,873.73 : 289,626.74 = 119,234.67 : x
  2. Step 2: Convert to fraction form
    209,873.73/289,626.74 = 119,234.67/x
  3. Step 3: Cross multiply
    209,873.73x = 289,626.74 × 119,234.67
  4. Step 4: Simplify right side
    209,873.73x = 34,533,547,531.93
  5. Step 5: Solve for x
    x = 34,533,547,531.93/209,873.73
  6. Step 6: Final answer
    x = 164,544.40

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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.