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Finding the Fourth Proportional to 146,149.92, 201,690 and 82,483.92

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Solution

The fourth proportional to 146,149.92, 201,690 and 82,483.92 is: 113,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,149.92 : 201,690 = 82,483.92 : x
  2. Step 2: Convert to fraction form
    146,149.92/201,690 = 82,483.92/x
  3. Step 3: Cross multiply
    146,149.92x = 201,690 × 82,483.92
  4. Step 4: Simplify right side
    146,149.92x = 16,636,181,824.80
  5. Step 5: Solve for x
    x = 16,636,181,824.80/146,149.92
  6. Step 6: Final answer
    x = 113,829.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.