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Finding the Fourth Proportional to 260,828.64, 391,008.24 and 94,500

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Solution

The fourth proportional to 260,828.64, 391,008.24 and 94,500 is: 141,664.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,828.64 : 391,008.24 = 94,500 : x
  2. Step 2: Convert to fraction form
    260,828.64/391,008.24 = 94,500/x
  3. Step 3: Cross multiply
    260,828.64x = 391,008.24 × 94,500
  4. Step 4: Simplify right side
    260,828.64x = 36,950,278,680
  5. Step 5: Solve for x
    x = 36,950,278,680/260,828.64
  6. Step 6: Final answer
    x = 141,664.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.