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Finding the Fourth Proportional to 76,124, 114,193.20 and 26,202.08

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Solution

The fourth proportional to 76,124, 114,193.20 and 26,202.08 is: 39,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,124 : 114,193.20 = 26,202.08 : x
  2. Step 2: Convert to fraction form
    76,124/114,193.20 = 26,202.08/x
  3. Step 3: Cross multiply
    76,124x = 114,193.20 × 26,202.08
  4. Step 4: Simplify right side
    76,124x = 2,992,099,361.86
  5. Step 5: Solve for x
    x = 2,992,099,361.86/76,124
  6. Step 6: Final answer
    x = 39,305.60

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Why These Related Problems?

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