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Finding the Fourth Proportional to 146,383.39, 202,003.84 and 82,719.82

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Solution

The fourth proportional to 146,383.39, 202,003.84 and 82,719.82 is: 114,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,383.39 : 202,003.84 = 82,719.82 : x
  2. Step 2: Convert to fraction form
    146,383.39/202,003.84 = 82,719.82/x
  3. Step 3: Cross multiply
    146,383.39x = 202,003.84 × 82,719.82
  4. Step 4: Simplify right side
    146,383.39x = 16,709,721,284.11
  5. Step 5: Solve for x
    x = 16,709,721,284.11/146,383.39
  6. Step 6: Final answer
    x = 114,150.39

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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.