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Finding the Fourth Proportional to 76,228.80, 114,343.20 and 51,280.80

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Solution

The fourth proportional to 76,228.80, 114,343.20 and 51,280.80 is: 76,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,228.80 : 114,343.20 = 51,280.80 : x
  2. Step 2: Convert to fraction form
    76,228.80/114,343.20 = 51,280.80/x
  3. Step 3: Cross multiply
    76,228.80x = 114,343.20 × 51,280.80
  4. Step 4: Simplify right side
    76,228.80x = 5,863,610,770.56
  5. Step 5: Solve for x
    x = 5,863,610,770.56/76,228.80
  6. Step 6: Final answer
    x = 76,921.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.