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Finding the Fourth Proportional to 232,546.17, 320,693.25 and 152,042.70

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Solution

The fourth proportional to 232,546.17, 320,693.25 and 152,042.70 is: 209,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,546.17 : 320,693.25 = 152,042.70 : x
  2. Step 2: Convert to fraction form
    232,546.17/320,693.25 = 152,042.70/x
  3. Step 3: Cross multiply
    232,546.17x = 320,693.25 × 152,042.70
  4. Step 4: Simplify right side
    232,546.17x = 48,759,067,601.78
  5. Step 5: Solve for x
    x = 48,759,067,601.78/232,546.17
  6. Step 6: Final answer
    x = 209,674.78

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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.