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Finding the Fourth Proportional to 146,200.41, 201,756.60 and 82,542.30

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Solution

The fourth proportional to 146,200.41, 201,756.60 and 82,542.30 is: 113,908.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,200.41 : 201,756.60 = 82,542.30 : x
  2. Step 2: Convert to fraction form
    146,200.41/201,756.60 = 82,542.30/x
  3. Step 3: Cross multiply
    146,200.41x = 201,756.60 × 82,542.30
  4. Step 4: Simplify right side
    146,200.41x = 16,653,453,804.18
  5. Step 5: Solve for x
    x = 16,653,453,804.18/146,200.41
  6. Step 6: Final answer
    x = 113,908.39

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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.