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Finding the Fourth Proportional to 209,966.58, 289,741.39 and 119,309.96

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Solution

The fourth proportional to 209,966.58, 289,741.39 and 119,309.96 is: 164,640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,966.58 : 289,741.39 = 119,309.96 : x
  2. Step 2: Convert to fraction form
    209,966.58/289,741.39 = 119,309.96/x
  3. Step 3: Cross multiply
    209,966.58x = 289,741.39 × 119,309.96
  4. Step 4: Simplify right side
    209,966.58x = 34,569,032,628.62
  5. Step 5: Solve for x
    x = 34,569,032,628.62/209,966.58
  6. Step 6: Final answer
    x = 164,640.65

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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.