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Finding the Fourth Proportional to 208,817.28, 313,226.28 and 51,045.84

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Solution

The fourth proportional to 208,817.28, 313,226.28 and 51,045.84 is: 76,568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,817.28 : 313,226.28 = 51,045.84 : x
  2. Step 2: Convert to fraction form
    208,817.28/313,226.28 = 51,045.84/x
  3. Step 3: Cross multiply
    208,817.28x = 313,226.28 × 51,045.84
  4. Step 4: Simplify right side
    208,817.28x = 15,988,898,572.68
  5. Step 5: Solve for x
    x = 15,988,898,572.68/208,817.28
  6. Step 6: Final answer
    x = 76,568.85

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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.