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Finding the Fourth Proportional to 232,108.68, 320,366.96 and 141,514.60

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Solution

The fourth proportional to 232,108.68, 320,366.96 and 141,514.60 is: 195,324.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,108.68 : 320,366.96 = 141,514.60 : x
  2. Step 2: Convert to fraction form
    232,108.68/320,366.96 = 141,514.60/x
  3. Step 3: Cross multiply
    232,108.68x = 320,366.96 × 141,514.60
  4. Step 4: Simplify right side
    232,108.68x = 45,336,600,521.45
  5. Step 5: Solve for x
    x = 45,336,600,521.45/232,108.68
  6. Step 6: Final answer
    x = 195,324.88

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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.