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Finding the Fourth Proportional to 295,862.16, 408,357.72 and 181,204

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Solution

The fourth proportional to 295,862.16, 408,357.72 and 181,204 is: 250,103.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,862.16 : 408,357.72 = 181,204 : x
  2. Step 2: Convert to fraction form
    295,862.16/408,357.72 = 181,204/x
  3. Step 3: Cross multiply
    295,862.16x = 408,357.72 × 181,204
  4. Step 4: Simplify right side
    295,862.16x = 73,996,052,294.88
  5. Step 5: Solve for x
    x = 73,996,052,294.88/295,862.16
  6. Step 6: Final answer
    x = 250,103.13

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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.