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Finding the Fourth Proportional to 209,854.22, 289,589.82 and 119,209.92

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Solution

The fourth proportional to 209,854.22, 289,589.82 and 119,209.92 is: 164,504.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,854.22 : 289,589.82 = 119,209.92 : x
  2. Step 2: Convert to fraction form
    209,854.22/289,589.82 = 119,209.92/x
  3. Step 3: Cross multiply
    209,854.22x = 289,589.82 × 119,209.92
  4. Step 4: Simplify right side
    209,854.22x = 34,521,979,275.01
  5. Step 5: Solve for x
    x = 34,521,979,275.01/209,854.22
  6. Step 6: Final answer
    x = 164,504.58

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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.