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Finding the Fourth Proportional to 270,647.16, 405,703 and 128,242.28

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Solution

The fourth proportional to 270,647.16, 405,703 and 128,242.28 is: 192,236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,647.16 : 405,703 = 128,242.28 : x
  2. Step 2: Convert to fraction form
    270,647.16/405,703 = 128,242.28/x
  3. Step 3: Cross multiply
    270,647.16x = 405,703 × 128,242.28
  4. Step 4: Simplify right side
    270,647.16x = 52,028,277,722.84
  5. Step 5: Solve for x
    x = 52,028,277,722.84/270,647.16
  6. Step 6: Final answer
    x = 192,236.56

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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.