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Finding the Fourth Proportional to 208,517.96, 312,776.98 and 50,746.42

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Solution

The fourth proportional to 208,517.96, 312,776.98 and 50,746.42 is: 76,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,517.96 : 312,776.98 = 50,746.42 : x
  2. Step 2: Convert to fraction form
    208,517.96/312,776.98 = 50,746.42/x
  3. Step 3: Cross multiply
    208,517.96x = 312,776.98 × 50,746.42
  4. Step 4: Simplify right side
    208,517.96x = 15,872,310,175.79
  5. Step 5: Solve for x
    x = 15,872,310,175.79/208,517.96
  6. Step 6: Final answer
    x = 76,119.63

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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.