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Finding the Fourth Proportional to 188,029.74, 282,039.96 and 45,876

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Solution

The fourth proportional to 188,029.74, 282,039.96 and 45,876 is: 68,812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,029.74 : 282,039.96 = 45,876 : x
  2. Step 2: Convert to fraction form
    188,029.74/282,039.96 = 45,876/x
  3. Step 3: Cross multiply
    188,029.74x = 282,039.96 × 45,876
  4. Step 4: Simplify right side
    188,029.74x = 12,938,865,204.96
  5. Step 5: Solve for x
    x = 12,938,865,204.96/188,029.74
  6. Step 6: Final answer
    x = 68,812.87

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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.