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Finding the Fourth Proportional to 232,425.71, 320,936.54 and 189,411.54

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Solution

The fourth proportional to 232,425.71, 320,936.54 and 189,411.54 is: 261,542.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,425.71 : 320,936.54 = 189,411.54 : x
  2. Step 2: Convert to fraction form
    232,425.71/320,936.54 = 189,411.54/x
  3. Step 3: Cross multiply
    232,425.71x = 320,936.54 × 189,411.54
  4. Step 4: Simplify right side
    232,425.71x = 60,789,084,283.67
  5. Step 5: Solve for x
    x = 60,789,084,283.67/232,425.71
  6. Step 6: Final answer
    x = 261,542.00

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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.