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Finding the Fourth Proportional to 146,200.66, 201,745.65 and 82,544.74

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Solution

The fourth proportional to 146,200.66, 201,745.65 and 82,544.74 is: 113,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,200.66 : 201,745.65 = 82,544.74 : x
  2. Step 2: Convert to fraction form
    146,200.66/201,745.65 = 82,544.74/x
  3. Step 3: Cross multiply
    146,200.66x = 201,745.65 × 82,544.74
  4. Step 4: Simplify right side
    146,200.66x = 16,653,042,225.38
  5. Step 5: Solve for x
    x = 16,653,042,225.38/146,200.66
  6. Step 6: Final answer
    x = 113,905.38

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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.