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Finding the Fourth Proportional to 120,268.51, 165,860.89 and 103,267.42

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Solution

The fourth proportional to 120,268.51, 165,860.89 and 103,267.42 is: 142,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,268.51 : 165,860.89 = 103,267.42 : x
  2. Step 2: Convert to fraction form
    120,268.51/165,860.89 = 103,267.42/x
  3. Step 3: Cross multiply
    120,268.51x = 165,860.89 × 103,267.42
  4. Step 4: Simplify right side
    120,268.51x = 17,128,025,516.38
  5. Step 5: Solve for x
    x = 17,128,025,516.38/120,268.51
  6. Step 6: Final answer
    x = 142,414.88

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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.