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Finding the Fourth Proportional to 151,590.56, 209,195.26 and 83,605.64

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Solution

The fourth proportional to 151,590.56, 209,195.26 and 83,605.64 is: 115,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,590.56 : 209,195.26 = 83,605.64 : x
  2. Step 2: Convert to fraction form
    151,590.56/209,195.26 = 83,605.64/x
  3. Step 3: Cross multiply
    151,590.56x = 209,195.26 × 83,605.64
  4. Step 4: Simplify right side
    151,590.56x = 17,489,902,342.28
  5. Step 5: Solve for x
    x = 17,489,902,342.28/151,590.56
  6. Step 6: Final answer
    x = 115,375.94

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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.