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Finding the Fourth Proportional to 232,411.43, 320,759.94 and 130,442.96

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Solution

The fourth proportional to 232,411.43, 320,759.94 and 130,442.96 is: 180,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,411.43 : 320,759.94 = 130,442.96 : x
  2. Step 2: Convert to fraction form
    232,411.43/320,759.94 = 130,442.96/x
  3. Step 3: Cross multiply
    232,411.43x = 320,759.94 × 130,442.96
  4. Step 4: Simplify right side
    232,411.43x = 41,840,876,023.02
  5. Step 5: Solve for x
    x = 41,840,876,023.02/232,411.43
  6. Step 6: Final answer
    x = 180,029.34

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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.