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Finding the Fourth Proportional to 146,240.16, 201,800.16 and 82,583.52

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Solution

The fourth proportional to 146,240.16, 201,800.16 and 82,583.52 is: 113,958.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,240.16 : 201,800.16 = 82,583.52 : x
  2. Step 2: Convert to fraction form
    146,240.16/201,800.16 = 82,583.52/x
  3. Step 3: Cross multiply
    146,240.16x = 201,800.16 × 82,583.52
  4. Step 4: Simplify right side
    146,240.16x = 16,665,367,549.36
  5. Step 5: Solve for x
    x = 16,665,367,549.36/146,240.16
  6. Step 6: Final answer
    x = 113,958.90

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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.