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Finding the Fourth Proportional to 232,511.84, 320,876.88 and 137,022.56

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Solution

The fourth proportional to 232,511.84, 320,876.88 and 137,022.56 is: 189,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,511.84 : 320,876.88 = 137,022.56 : x
  2. Step 2: Convert to fraction form
    232,511.84/320,876.88 = 137,022.56/x
  3. Step 3: Cross multiply
    232,511.84x = 320,876.88 × 137,022.56
  4. Step 4: Simplify right side
    232,511.84x = 43,967,371,542.41
  5. Step 5: Solve for x
    x = 43,967,371,542.41/232,511.84
  6. Step 6: Final answer
    x = 189,097.34

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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.