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Finding the Fourth Proportional to 120,243.64, 165,941.12 and 66,527.79

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Solution

The fourth proportional to 120,243.64, 165,941.12 and 66,527.79 is: 91,811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,243.64 : 165,941.12 = 66,527.79 : x
  2. Step 2: Convert to fraction form
    120,243.64/165,941.12 = 66,527.79/x
  3. Step 3: Cross multiply
    120,243.64x = 165,941.12 × 66,527.79
  4. Step 4: Simplify right side
    120,243.64x = 11,039,694,821.38
  5. Step 5: Solve for x
    x = 11,039,694,821.38/120,243.64
  6. Step 6: Final answer
    x = 91,811.05

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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.