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Finding the Fourth Proportional to 209,735.80, 289,425.18 and 119,079.88

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Solution

The fourth proportional to 209,735.80, 289,425.18 and 119,079.88 is: 164,324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,735.80 : 289,425.18 = 119,079.88 : x
  2. Step 2: Convert to fraction form
    209,735.80/289,425.18 = 119,079.88/x
  3. Step 3: Cross multiply
    209,735.80x = 289,425.18 × 119,079.88
  4. Step 4: Simplify right side
    209,735.80x = 34,464,715,703.38
  5. Step 5: Solve for x
    x = 34,464,715,703.38/209,735.80
  6. Step 6: Final answer
    x = 164,324.43

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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.