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Finding the Fourth Proportional to 146,458.36, 202,111.38 and 82,808.68

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Solution

The fourth proportional to 146,458.36, 202,111.38 and 82,808.68 is: 114,275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,458.36 : 202,111.38 = 82,808.68 : x
  2. Step 2: Convert to fraction form
    146,458.36/202,111.38 = 82,808.68/x
  3. Step 3: Cross multiply
    146,458.36x = 202,111.38 × 82,808.68
  4. Step 4: Simplify right side
    146,458.36x = 16,736,576,590.78
  5. Step 5: Solve for x
    x = 16,736,576,590.78/146,458.36
  6. Step 6: Final answer
    x = 114,275.32

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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.