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Finding the Fourth Proportional to 202,995.20, 304,363.20 and 84,713.60

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Solution

The fourth proportional to 202,995.20, 304,363.20 and 84,713.60 is: 127,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,995.20 : 304,363.20 = 84,713.60 : x
  2. Step 2: Convert to fraction form
    202,995.20/304,363.20 = 84,713.60/x
  3. Step 3: Cross multiply
    202,995.20x = 304,363.20 × 84,713.60
  4. Step 4: Simplify right side
    202,995.20x = 25,783,702,379.52
  5. Step 5: Solve for x
    x = 25,783,702,379.52/202,995.20
  6. Step 6: Final answer
    x = 127,016.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.