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Finding the Fourth Proportional to 276,409.96, 414,613.53 and 107,947.39

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Solution

The fourth proportional to 276,409.96, 414,613.53 and 107,947.39 is: 161,920.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,409.96 : 414,613.53 = 107,947.39 : x
  2. Step 2: Convert to fraction form
    276,409.96/414,613.53 = 107,947.39/x
  3. Step 3: Cross multiply
    276,409.96x = 414,613.53 × 107,947.39
  4. Step 4: Simplify right side
    276,409.96x = 44,756,448,422.19
  5. Step 5: Solve for x
    x = 44,756,448,422.19/276,409.96
  6. Step 6: Final answer
    x = 161,920.53

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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.