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Finding the Fourth Proportional to 146,007.72, 201,490.62 and 82,345.38

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Solution

The fourth proportional to 146,007.72, 201,490.62 and 82,345.38 is: 113,636.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,007.72 : 201,490.62 = 82,345.38 : x
  2. Step 2: Convert to fraction form
    146,007.72/201,490.62 = 82,345.38/x
  3. Step 3: Cross multiply
    146,007.72x = 201,490.62 × 82,345.38
  4. Step 4: Simplify right side
    146,007.72x = 16,591,821,670.34
  5. Step 5: Solve for x
    x = 16,591,821,670.34/146,007.72
  6. Step 6: Final answer
    x = 113,636.61

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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.