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Finding the Fourth Proportional to 208,218.80, 312,327.12 and 50,447.28

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Solution

The fourth proportional to 208,218.80, 312,327.12 and 50,447.28 is: 75,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,218.80 : 312,327.12 = 50,447.28 : x
  2. Step 2: Convert to fraction form
    208,218.80/312,327.12 = 50,447.28/x
  3. Step 3: Cross multiply
    208,218.80x = 312,327.12 × 50,447.28
  4. Step 4: Simplify right side
    208,218.80x = 15,756,053,674.23
  5. Step 5: Solve for x
    x = 15,756,053,674.23/208,218.80
  6. Step 6: Final answer
    x = 75,670.66

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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.