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Finding the Fourth Proportional to 232,553.92, 320,920.32 and 130,580.18

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Solution

The fourth proportional to 232,553.92, 320,920.32 and 130,580.18 is: 180,198.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,553.92 : 320,920.32 = 130,580.18 : x
  2. Step 2: Convert to fraction form
    232,553.92/320,920.32 = 130,580.18/x
  3. Step 3: Cross multiply
    232,553.92x = 320,920.32 × 130,580.18
  4. Step 4: Simplify right side
    232,553.92x = 41,905,833,953.56
  5. Step 5: Solve for x
    x = 41,905,833,953.56/232,553.92
  6. Step 6: Final answer
    x = 180,198.36

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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.