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Finding the Fourth Proportional to 232,382.34, 320,668.92 and 130,393.80

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Solution

The fourth proportional to 232,382.34, 320,668.92 and 130,393.80 is: 179,932.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,382.34 : 320,668.92 = 130,393.80 : x
  2. Step 2: Convert to fraction form
    232,382.34/320,668.92 = 130,393.80/x
  3. Step 3: Cross multiply
    232,382.34x = 320,668.92 × 130,393.80
  4. Step 4: Simplify right side
    232,382.34x = 41,813,239,020.70
  5. Step 5: Solve for x
    x = 41,813,239,020.70/232,382.34
  6. Step 6: Final answer
    x = 179,932.95

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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.