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Finding the Fourth Proportional to 120,905.02, 166,847.42 and 69,916.33

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Solution

The fourth proportional to 120,905.02, 166,847.42 and 69,916.33 is: 96,483.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,905.02 : 166,847.42 = 69,916.33 : x
  2. Step 2: Convert to fraction form
    120,905.02/166,847.42 = 69,916.33/x
  3. Step 3: Cross multiply
    120,905.02x = 166,847.42 × 69,916.33
  4. Step 4: Simplify right side
    120,905.02x = 11,665,358,442.13
  5. Step 5: Solve for x
    x = 11,665,358,442.13/120,905.02
  6. Step 6: Final answer
    x = 96,483.66

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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.