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Finding the Fourth Proportional to 232,411.38, 320,723.49 and 130,428.84

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Solution

The fourth proportional to 232,411.38, 320,723.49 and 130,428.84 is: 179,989.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,411.38 : 320,723.49 = 130,428.84 : x
  2. Step 2: Convert to fraction form
    232,411.38/320,723.49 = 130,428.84/x
  3. Step 3: Cross multiply
    232,411.38x = 320,723.49 × 130,428.84
  4. Step 4: Simplify right side
    232,411.38x = 41,831,592,761.45
  5. Step 5: Solve for x
    x = 41,831,592,761.45/232,411.38
  6. Step 6: Final answer
    x = 179,989.43

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Why These Related Problems?

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