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Finding the Fourth Proportional to 208,412.87, 312,618.83 and 50,641.47

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Solution

The fourth proportional to 208,412.87, 312,618.83 and 50,641.47 is: 75,962.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,412.87 : 312,618.83 = 50,641.47 : x
  2. Step 2: Convert to fraction form
    208,412.87/312,618.83 = 50,641.47/x
  3. Step 3: Cross multiply
    208,412.87x = 312,618.83 × 50,641.47
  4. Step 4: Simplify right side
    208,412.87x = 15,831,476,847.67
  5. Step 5: Solve for x
    x = 15,831,476,847.67/208,412.87
  6. Step 6: Final answer
    x = 75,962.09

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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.