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Finding the Fourth Proportional to 208,873.68, 313,377.88 and 96,627.42

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Solution

The fourth proportional to 208,873.68, 313,377.88 and 96,627.42 is: 144,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,873.68 : 313,377.88 = 96,627.42 : x
  2. Step 2: Convert to fraction form
    208,873.68/313,377.88 = 96,627.42/x
  3. Step 3: Cross multiply
    208,873.68x = 313,377.88 × 96,627.42
  4. Step 4: Simplify right side
    208,873.68x = 30,280,895,787.90
  5. Step 5: Solve for x
    x = 30,280,895,787.90/208,873.68
  6. Step 6: Final answer
    x = 144,972.29

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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.