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Finding the Fourth Proportional to 105,452.26, 145,524.13 and 57,705.62

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Solution

The fourth proportional to 105,452.26, 145,524.13 and 57,705.62 is: 79,633.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,452.26 : 145,524.13 = 57,705.62 : x
  2. Step 2: Convert to fraction form
    105,452.26/145,524.13 = 57,705.62/x
  3. Step 3: Cross multiply
    105,452.26x = 145,524.13 × 57,705.62
  4. Step 4: Simplify right side
    105,452.26x = 8,397,559,274.73
  5. Step 5: Solve for x
    x = 8,397,559,274.73/105,452.26
  6. Step 6: Final answer
    x = 79,633.76

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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.