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Finding the Fourth Proportional to 120,367.10, 166,106.49 and 66,652.11

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Solution

The fourth proportional to 120,367.10, 166,106.49 and 66,652.11 is: 91,979.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,367.10 : 166,106.49 = 66,652.11 : x
  2. Step 2: Convert to fraction form
    120,367.10/166,106.49 = 66,652.11/x
  3. Step 3: Cross multiply
    120,367.10x = 166,106.49 × 66,652.11
  4. Step 4: Simplify right side
    120,367.10x = 11,071,348,916.04
  5. Step 5: Solve for x
    x = 11,071,348,916.04/120,367.10
  6. Step 6: Final answer
    x = 91,979.86

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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.