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Finding the Fourth Proportional to 276,278.56, 414,543.60 and 134,047.06

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Solution

The fourth proportional to 276,278.56, 414,543.60 and 134,047.06 is: 201,131.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,278.56 : 414,543.60 = 134,047.06 : x
  2. Step 2: Convert to fraction form
    276,278.56/414,543.60 = 134,047.06/x
  3. Step 3: Cross multiply
    276,278.56x = 414,543.60 × 134,047.06
  4. Step 4: Simplify right side
    276,278.56x = 55,568,350,821.82
  5. Step 5: Solve for x
    x = 55,568,350,821.82/276,278.56
  6. Step 6: Final answer
    x = 201,131.61

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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.