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Finding the Fourth Proportional to 209,694.96, 289,386 and 119,054.88

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Solution

The fourth proportional to 209,694.96, 289,386 and 119,054.88 is: 164,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,694.96 : 289,386 = 119,054.88 : x
  2. Step 2: Convert to fraction form
    209,694.96/289,386 = 119,054.88/x
  3. Step 3: Cross multiply
    209,694.96x = 289,386 × 119,054.88
  4. Step 4: Simplify right side
    209,694.96x = 34,452,815,503.68
  5. Step 5: Solve for x
    x = 34,452,815,503.68/209,694.96
  6. Step 6: Final answer
    x = 164,299.68

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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.