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Finding the Fourth Proportional to 120,263.94, 165,964.53 and 66,552.63

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Solution

The fourth proportional to 120,263.94, 165,964.53 and 66,552.63 is: 91,842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,263.94 : 165,964.53 = 66,552.63 : x
  2. Step 2: Convert to fraction form
    120,263.94/165,964.53 = 66,552.63/x
  3. Step 3: Cross multiply
    120,263.94x = 165,964.53 × 66,552.63
  4. Step 4: Simplify right side
    120,263.94x = 11,045,375,958.21
  5. Step 5: Solve for x
    x = 11,045,375,958.21/120,263.94
  6. Step 6: Final answer
    x = 91,842.79

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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.