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Finding the Fourth Proportional to 209,801.44, 289,519.32 and 119,150.38

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Solution

The fourth proportional to 209,801.44, 289,519.32 and 119,150.38 is: 164,423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,801.44 : 289,519.32 = 119,150.38 : x
  2. Step 2: Convert to fraction form
    209,801.44/289,519.32 = 119,150.38/x
  3. Step 3: Cross multiply
    209,801.44x = 289,519.32 × 119,150.38
  4. Step 4: Simplify right side
    209,801.44x = 34,496,336,995.34
  5. Step 5: Solve for x
    x = 34,496,336,995.34/209,801.44
  6. Step 6: Final answer
    x = 164,423.74

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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.