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Finding the Fourth Proportional to 146,508.68, 202,185.96 and 82,856

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Solution

The fourth proportional to 146,508.68, 202,185.96 and 82,856 is: 114,343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,508.68 : 202,185.96 = 82,856 : x
  2. Step 2: Convert to fraction form
    146,508.68/202,185.96 = 82,856/x
  3. Step 3: Cross multiply
    146,508.68x = 202,185.96 × 82,856
  4. Step 4: Simplify right side
    146,508.68x = 16,752,319,901.76
  5. Step 5: Solve for x
    x = 16,752,319,901.76/146,508.68
  6. Step 6: Final answer
    x = 114,343.53

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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.