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Finding the Fourth Proportional to 276,072.96, 413,830.44 and 107,488.20

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Solution

The fourth proportional to 276,072.96, 413,830.44 and 107,488.20 is: 161,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,072.96 : 413,830.44 = 107,488.20 : x
  2. Step 2: Convert to fraction form
    276,072.96/413,830.44 = 107,488.20/x
  3. Step 3: Cross multiply
    276,072.96x = 413,830.44 × 107,488.20
  4. Step 4: Simplify right side
    276,072.96x = 44,481,889,100.81
  5. Step 5: Solve for x
    x = 44,481,889,100.81/276,072.96
  6. Step 6: Final answer
    x = 161,123.67

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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.