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Finding the Fourth Proportional to 117,094.41, 161,484.03 and 76,793.67

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Solution

The fourth proportional to 117,094.41, 161,484.03 and 76,793.67 is: 105,905.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,094.41 : 161,484.03 = 76,793.67 : x
  2. Step 2: Convert to fraction form
    117,094.41/161,484.03 = 76,793.67/x
  3. Step 3: Cross multiply
    117,094.41x = 161,484.03 × 76,793.67
  4. Step 4: Simplify right side
    117,094.41x = 12,400,951,310.09
  5. Step 5: Solve for x
    x = 12,400,951,310.09/117,094.41
  6. Step 6: Final answer
    x = 105,905.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.