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Finding the Fourth Proportional to 120,406.10, 166,165.04 and 66,689.97

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Solution

The fourth proportional to 120,406.10, 166,165.04 and 66,689.97 is: 92,034.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,406.10 : 166,165.04 = 66,689.97 : x
  2. Step 2: Convert to fraction form
    120,406.10/166,165.04 = 66,689.97/x
  3. Step 3: Cross multiply
    120,406.10x = 166,165.04 × 66,689.97
  4. Step 4: Simplify right side
    120,406.10x = 11,081,541,199.20
  5. Step 5: Solve for x
    x = 11,081,541,199.20/120,406.10
  6. Step 6: Final answer
    x = 92,034.72

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1.5x scale

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.