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Finding the Fourth Proportional to 120,905.48, 166,836.32 and 69,910.50

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Solution

The fourth proportional to 120,905.48, 166,836.32 and 69,910.50 is: 96,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,905.48 : 166,836.32 = 69,910.50 : x
  2. Step 2: Convert to fraction form
    120,905.48/166,836.32 = 69,910.50/x
  3. Step 3: Cross multiply
    120,905.48x = 166,836.32 × 69,910.50
  4. Step 4: Simplify right side
    120,905.48x = 11,663,610,549.36
  5. Step 5: Solve for x
    x = 11,663,610,549.36/120,905.48
  6. Step 6: Final answer
    x = 96,468.83

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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.