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Finding the Fourth Proportional to 146,690.98, 202,446.38 and 82,159.20

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Solution

The fourth proportional to 146,690.98, 202,446.38 and 82,159.20 is: 113,386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,690.98 : 202,446.38 = 82,159.20 : x
  2. Step 2: Convert to fraction form
    146,690.98/202,446.38 = 82,159.20/x
  3. Step 3: Cross multiply
    146,690.98x = 202,446.38 × 82,159.20
  4. Step 4: Simplify right side
    146,690.98x = 16,632,832,829.09
  5. Step 5: Solve for x
    x = 16,632,832,829.09/146,690.98
  6. Step 6: Final answer
    x = 113,386.88

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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.