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Finding the Fourth Proportional to 232,509.35, 320,840.71 and 130,511.43

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Solution

The fourth proportional to 232,509.35, 320,840.71 and 130,511.43 is: 180,093.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,509.35 : 320,840.71 = 130,511.43 : x
  2. Step 2: Convert to fraction form
    232,509.35/320,840.71 = 130,511.43/x
  3. Step 3: Cross multiply
    232,509.35x = 320,840.71 × 130,511.43
  4. Step 4: Simplify right side
    232,509.35x = 41,873,379,538.04
  5. Step 5: Solve for x
    x = 41,873,379,538.04/232,509.35
  6. Step 6: Final answer
    x = 180,093.31

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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.