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Finding the Fourth Proportional to 209,198.11, 313,452.24 and 120,526.15

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Solution

The fourth proportional to 209,198.11, 313,452.24 and 120,526.15 is: 180,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,198.11 : 313,452.24 = 120,526.15 : x
  2. Step 2: Convert to fraction form
    209,198.11/313,452.24 = 120,526.15/x
  3. Step 3: Cross multiply
    209,198.11x = 313,452.24 × 120,526.15
  4. Step 4: Simplify right side
    209,198.11x = 37,779,191,696.08
  5. Step 5: Solve for x
    x = 37,779,191,696.08/209,198.11
  6. Step 6: Final answer
    x = 180,590.50

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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.