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Finding the Fourth Proportional to 133,615.71, 184,343.92 and 76,213.78

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Solution

The fourth proportional to 133,615.71, 184,343.92 and 76,213.78 is: 105,148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,615.71 : 184,343.92 = 76,213.78 : x
  2. Step 2: Convert to fraction form
    133,615.71/184,343.92 = 76,213.78/x
  3. Step 3: Cross multiply
    133,615.71x = 184,343.92 × 76,213.78
  4. Step 4: Simplify right side
    133,615.71x = 14,049,546,311.82
  5. Step 5: Solve for x
    x = 14,049,546,311.82/133,615.71
  6. Step 6: Final answer
    x = 105,148.91

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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.