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Finding the Fourth Proportional to 133,142.26, 183,737.57 and 75,778.77

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Solution

The fourth proportional to 133,142.26, 183,737.57 and 75,778.77 is: 104,575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,142.26 : 183,737.57 = 75,778.77 : x
  2. Step 2: Convert to fraction form
    133,142.26/183,737.57 = 75,778.77/x
  3. Step 3: Cross multiply
    133,142.26x = 183,737.57 × 75,778.77
  4. Step 4: Simplify right side
    133,142.26x = 13,923,407,057.39
  5. Step 5: Solve for x
    x = 13,923,407,057.39/133,142.26
  6. Step 6: Final answer
    x = 104,575.41

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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.