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Finding the Fourth Proportional to 209,907.33, 289,672.20 and 119,263.42

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Solution

The fourth proportional to 209,907.33, 289,672.20 and 119,263.42 is: 164,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,907.33 : 289,672.20 = 119,263.42 : x
  2. Step 2: Convert to fraction form
    209,907.33/289,672.20 = 119,263.42/x
  3. Step 3: Cross multiply
    209,907.33x = 289,672.20 × 119,263.42
  4. Step 4: Simplify right side
    209,907.33x = 34,547,295,919.75
  5. Step 5: Solve for x
    x = 34,547,295,919.75/209,907.33
  6. Step 6: Final answer
    x = 164,583.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.