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Finding the Fourth Proportional to 273,817.40, 410,873.14 and 114,003.66

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Solution

The fourth proportional to 273,817.40, 410,873.14 and 114,003.66 is: 171,066.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,817.40 : 410,873.14 = 114,003.66 : x
  2. Step 2: Convert to fraction form
    273,817.40/410,873.14 = 114,003.66/x
  3. Step 3: Cross multiply
    273,817.40x = 410,873.14 × 114,003.66
  4. Step 4: Simplify right side
    273,817.40x = 46,841,041,755.69
  5. Step 5: Solve for x
    x = 46,841,041,755.69/273,817.40
  6. Step 6: Final answer
    x = 171,066.71

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Why These Related Problems?

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