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Finding the Fourth Proportional to 146,382.39, 202,002.46 and 82,718.82

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Solution

The fourth proportional to 146,382.39, 202,002.46 and 82,718.82 is: 114,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,382.39 : 202,002.46 = 82,718.82 : x
  2. Step 2: Convert to fraction form
    146,382.39/202,002.46 = 82,718.82/x
  3. Step 3: Cross multiply
    146,382.39x = 202,002.46 × 82,718.82
  4. Step 4: Simplify right side
    146,382.39x = 16,709,404,921.50
  5. Step 5: Solve for x
    x = 16,709,404,921.50/146,382.39
  6. Step 6: Final answer
    x = 114,149.01

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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.