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Finding the Fourth Proportional to 212,075.96, 317,993.84 and 69,882.68

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Solution

The fourth proportional to 212,075.96, 317,993.84 and 69,882.68 is: 104,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,075.96 : 317,993.84 = 69,882.68 : x
  2. Step 2: Convert to fraction form
    212,075.96/317,993.84 = 69,882.68/x
  3. Step 3: Cross multiply
    212,075.96x = 317,993.84 × 69,882.68
  4. Step 4: Simplify right side
    212,075.96x = 22,222,259,823.31
  5. Step 5: Solve for x
    x = 22,222,259,823.31/212,075.96
  6. Step 6: Final answer
    x = 104,784.44

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