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Finding the Fourth Proportional to 276,099, 414,157.68 and 76,402.68

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Solution

The fourth proportional to 276,099, 414,157.68 and 76,402.68 is: 114,606.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,099 : 414,157.68 = 76,402.68 : x
  2. Step 2: Convert to fraction form
    276,099/414,157.68 = 76,402.68/x
  3. Step 3: Cross multiply
    276,099x = 414,157.68 × 76,402.68
  4. Step 4: Simplify right side
    276,099x = 31,642,756,694.58
  5. Step 5: Solve for x
    x = 31,642,756,694.58/276,099
  6. Step 6: Final answer
    x = 114,606.56

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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.