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Finding the Fourth Proportional to 230,590.22, 345,990.41 and 118,349.24

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Solution

The fourth proportional to 230,590.22, 345,990.41 and 118,349.24 is: 177,577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,590.22 : 345,990.41 = 118,349.24 : x
  2. Step 2: Convert to fraction form
    230,590.22/345,990.41 = 118,349.24/x
  3. Step 3: Cross multiply
    230,590.22x = 345,990.41 × 118,349.24
  4. Step 4: Simplify right side
    230,590.22x = 40,947,699,749.09
  5. Step 5: Solve for x
    x = 40,947,699,749.09/230,590.22
  6. Step 6: Final answer
    x = 177,577.79

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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.