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Finding the Fourth Proportional to 202,282.75, 301,886.00 and 179,863.16

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Solution

The fourth proportional to 202,282.75, 301,886.00 and 179,863.16 is: 268,427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,282.75 : 301,886.00 = 179,863.16 : x
  2. Step 2: Convert to fraction form
    202,282.75/301,886.00 = 179,863.16/x
  3. Step 3: Cross multiply
    202,282.75x = 301,886.00 × 179,863.16
  4. Step 4: Simplify right side
    202,282.75x = 54,298,169,020.44
  5. Step 5: Solve for x
    x = 54,298,169,020.44/202,282.75
  6. Step 6: Final answer
    x = 268,427.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.