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Finding the Fourth Proportional to 209,676.73, 314,513.61 and 125,460.37

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Solution

The fourth proportional to 209,676.73, 314,513.61 and 125,460.37 is: 188,189.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,676.73 : 314,513.61 = 125,460.37 : x
  2. Step 2: Convert to fraction form
    209,676.73/314,513.61 = 125,460.37/x
  3. Step 3: Cross multiply
    209,676.73x = 314,513.61 × 125,460.37
  4. Step 4: Simplify right side
    209,676.73x = 39,458,993,880.64
  5. Step 5: Solve for x
    x = 39,458,993,880.64/209,676.73
  6. Step 6: Final answer
    x = 188,189.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.