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Finding the Fourth Proportional to 209,746.62, 289,440.36 and 119,090.68

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Solution

The fourth proportional to 209,746.62, 289,440.36 and 119,090.68 is: 164,339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,746.62 : 289,440.36 = 119,090.68 : x
  2. Step 2: Convert to fraction form
    209,746.62/289,440.36 = 119,090.68/x
  3. Step 3: Cross multiply
    209,746.62x = 289,440.36 × 119,090.68
  4. Step 4: Simplify right side
    209,746.62x = 34,469,649,291.84
  5. Step 5: Solve for x
    x = 34,469,649,291.84/209,746.62
  6. Step 6: Final answer
    x = 164,339.47

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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.