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Finding the Fourth Proportional to 133,529.76, 184,270.68 and 76,941

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Solution

The fourth proportional to 133,529.76, 184,270.68 and 76,941 is: 106,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,529.76 : 184,270.68 = 76,941 : x
  2. Step 2: Convert to fraction form
    133,529.76/184,270.68 = 76,941/x
  3. Step 3: Cross multiply
    133,529.76x = 184,270.68 × 76,941
  4. Step 4: Simplify right side
    133,529.76x = 14,177,970,389.88
  5. Step 5: Solve for x
    x = 14,177,970,389.88/133,529.76
  6. Step 6: Final answer
    x = 106,178.36

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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.