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Finding the Fourth Proportional to 136,430.49, 204,773.72 and 83,942.49

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Solution

The fourth proportional to 136,430.49, 204,773.72 and 83,942.49 is: 125,992.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,430.49 : 204,773.72 = 83,942.49 : x
  2. Step 2: Convert to fraction form
    136,430.49/204,773.72 = 83,942.49/x
  3. Step 3: Cross multiply
    136,430.49x = 204,773.72 × 83,942.49
  4. Step 4: Simplify right side
    136,430.49x = 17,189,215,523.65
  5. Step 5: Solve for x
    x = 17,189,215,523.65/136,430.49
  6. Step 6: Final answer
    x = 125,992.48

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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.