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Finding the Fourth Proportional to 208,874.68, 313,379.38 and 96,628.42

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Solution

The fourth proportional to 208,874.68, 313,379.38 and 96,628.42 is: 144,973.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,874.68 : 313,379.38 = 96,628.42 : x
  2. Step 2: Convert to fraction form
    208,874.68/313,379.38 = 96,628.42/x
  3. Step 3: Cross multiply
    208,874.68x = 313,379.38 × 96,628.42
  4. Step 4: Simplify right side
    208,874.68x = 30,281,354,349.98
  5. Step 5: Solve for x
    x = 30,281,354,349.98/208,874.68
  6. Step 6: Final answer
    x = 144,973.79

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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.