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Finding the Fourth Proportional to 209,561.59, 289,202.43 and 118,921.38

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Solution

The fourth proportional to 209,561.59, 289,202.43 and 118,921.38 is: 164,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,561.59 : 289,202.43 = 118,921.38 : x
  2. Step 2: Convert to fraction form
    209,561.59/289,202.43 = 118,921.38/x
  3. Step 3: Cross multiply
    209,561.59x = 289,202.43 × 118,921.38
  4. Step 4: Simplify right side
    209,561.59x = 34,392,352,074.95
  5. Step 5: Solve for x
    x = 34,392,352,074.95/209,561.59
  6. Step 6: Final answer
    x = 164,115.72

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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.