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Finding the Fourth Proportional to 286,186.72, 429,231.12 and 75,845.92

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Solution

The fourth proportional to 286,186.72, 429,231.12 and 75,845.92 is: 113,755.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,186.72 : 429,231.12 = 75,845.92 : x
  2. Step 2: Convert to fraction form
    286,186.72/429,231.12 = 75,845.92/x
  3. Step 3: Cross multiply
    286,186.72x = 429,231.12 × 75,845.92
  4. Step 4: Simplify right side
    286,186.72x = 32,555,429,189.03
  5. Step 5: Solve for x
    x = 32,555,429,189.03/286,186.72
  6. Step 6: Final answer
    x = 113,755.90

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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.