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Finding the Fourth Proportional to 209,804.92, 314,334.22 and 120,874.67

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Solution

The fourth proportional to 209,804.92, 314,334.22 and 120,874.67 is: 181,097.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,804.92 : 314,334.22 = 120,874.67 : x
  2. Step 2: Convert to fraction form
    209,804.92/314,334.22 = 120,874.67/x
  3. Step 3: Cross multiply
    209,804.92x = 314,334.22 × 120,874.67
  4. Step 4: Simplify right side
    209,804.92x = 37,995,045,112.21
  5. Step 5: Solve for x
    x = 37,995,045,112.21/209,804.92
  6. Step 6: Final answer
    x = 181,097.02

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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.