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Finding the Fourth Proportional to 295,173.57, 442,716.21 and 81,919

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Solution

The fourth proportional to 295,173.57, 442,716.21 and 81,919 is: 122,866.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,173.57 : 442,716.21 = 81,919 : x
  2. Step 2: Convert to fraction form
    295,173.57/442,716.21 = 81,919/x
  3. Step 3: Cross multiply
    295,173.57x = 442,716.21 × 81,919
  4. Step 4: Simplify right side
    295,173.57x = 36,266,869,206.99
  5. Step 5: Solve for x
    x = 36,266,869,206.99/295,173.57
  6. Step 6: Final answer
    x = 122,866.25

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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.