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Finding the Fourth Proportional to 286,500.26, 429,749.96 and 76,138.22

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Solution

The fourth proportional to 286,500.26, 429,749.96 and 76,138.22 is: 114,207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,500.26 : 429,749.96 = 76,138.22 : x
  2. Step 2: Convert to fraction form
    286,500.26/429,749.96 = 76,138.22/x
  3. Step 3: Cross multiply
    286,500.26x = 429,749.96 × 76,138.22
  4. Step 4: Simplify right side
    286,500.26x = 32,720,394,470.03
  5. Step 5: Solve for x
    x = 32,720,394,470.03/286,500.26
  6. Step 6: Final answer
    x = 114,207.21

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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.