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Finding the Fourth Proportional to 276,424.14, 414,373.50 and 108,052.41

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Solution

The fourth proportional to 276,424.14, 414,373.50 and 108,052.41 is: 161,975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,424.14 : 414,373.50 = 108,052.41 : x
  2. Step 2: Convert to fraction form
    276,424.14/414,373.50 = 108,052.41/x
  3. Step 3: Cross multiply
    276,424.14x = 414,373.50 × 108,052.41
  4. Step 4: Simplify right side
    276,424.14x = 44,774,055,315.14
  5. Step 5: Solve for x
    x = 44,774,055,315.14/276,424.14
  6. Step 6: Final answer
    x = 161,975.92

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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.