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Finding the Fourth Proportional to 146,065.32, 201,579.36 and 82,379.88

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Solution

The fourth proportional to 146,065.32, 201,579.36 and 82,379.88 is: 113,689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,065.32 : 201,579.36 = 82,379.88 : x
  2. Step 2: Convert to fraction form
    146,065.32/201,579.36 = 82,379.88/x
  3. Step 3: Cross multiply
    146,065.32x = 201,579.36 × 82,379.88
  4. Step 4: Simplify right side
    146,065.32x = 16,606,083,487.28
  5. Step 5: Solve for x
    x = 16,606,083,487.28/146,065.32
  6. Step 6: Final answer
    x = 113,689.43

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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.