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Finding the Fourth Proportional to 232,595.26, 320,989.21 and 130,638.69

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Solution

The fourth proportional to 232,595.26, 320,989.21 and 130,638.69 is: 180,285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,595.26 : 320,989.21 = 130,638.69 : x
  2. Step 2: Convert to fraction form
    232,595.26/320,989.21 = 130,638.69/x
  3. Step 3: Cross multiply
    232,595.26x = 320,989.21 × 130,638.69
  4. Step 4: Simplify right side
    232,595.26x = 41,933,609,571.94
  5. Step 5: Solve for x
    x = 41,933,609,571.94/232,595.26
  6. Step 6: Final answer
    x = 180,285.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.