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Finding the Fourth Proportional to 120,051, 165,670.38 and 67,059

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Solution

The fourth proportional to 120,051, 165,670.38 and 67,059 is: 92,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,051 : 165,670.38 = 67,059 : x
  2. Step 2: Convert to fraction form
    120,051/165,670.38 = 67,059/x
  3. Step 3: Cross multiply
    120,051x = 165,670.38 × 67,059
  4. Step 4: Simplify right side
    120,051x = 11,109,690,012.42
  5. Step 5: Solve for x
    x = 11,109,690,012.42/120,051
  6. Step 6: Final answer
    x = 92,541.42

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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.