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Finding the Fourth Proportional to 146,536.12, 202,230.70 and 82,011.82

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Solution

The fourth proportional to 146,536.12, 202,230.70 and 82,011.82 is: 113,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,536.12 : 202,230.70 = 82,011.82 : x
  2. Step 2: Convert to fraction form
    146,536.12/202,230.70 = 82,011.82/x
  3. Step 3: Cross multiply
    146,536.12x = 202,230.70 × 82,011.82
  4. Step 4: Simplify right side
    146,536.12x = 16,585,307,766.87
  5. Step 5: Solve for x
    x = 16,585,307,766.87/146,536.12
  6. Step 6: Final answer
    x = 113,182.39

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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.