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Finding the Fourth Proportional to 208,768.44, 313,144.16 and 96,411.72

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Solution

The fourth proportional to 208,768.44, 313,144.16 and 96,411.72 is: 144,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,768.44 : 313,144.16 = 96,411.72 : x
  2. Step 2: Convert to fraction form
    208,768.44/313,144.16 = 96,411.72/x
  3. Step 3: Cross multiply
    208,768.44x = 313,144.16 × 96,411.72
  4. Step 4: Simplify right side
    208,768.44x = 30,190,767,073.56
  5. Step 5: Solve for x
    x = 30,190,767,073.56/208,768.44
  6. Step 6: Final answer
    x = 144,613.65

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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.