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Finding the Fourth Proportional to 76,238.49, 114,363.36 and 20,078.22

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Solution

The fourth proportional to 76,238.49, 114,363.36 and 20,078.22 is: 30,118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,238.49 : 114,363.36 = 20,078.22 : x
  2. Step 2: Convert to fraction form
    76,238.49/114,363.36 = 20,078.22/x
  3. Step 3: Cross multiply
    76,238.49x = 114,363.36 × 20,078.22
  4. Step 4: Simplify right side
    76,238.49x = 2,296,212,702.02
  5. Step 5: Solve for x
    x = 2,296,212,702.02/76,238.49
  6. Step 6: Final answer
    x = 30,118.81

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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.