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Finding the Fourth Proportional to 120,853.59, 166,782.32 and 69,882.32

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Solution

The fourth proportional to 120,853.59, 166,782.32 and 69,882.32 is: 96,440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,853.59 : 166,782.32 = 69,882.32 : x
  2. Step 2: Convert to fraction form
    120,853.59/166,782.32 = 69,882.32/x
  3. Step 3: Cross multiply
    120,853.59x = 166,782.32 × 69,882.32
  4. Step 4: Simplify right side
    120,853.59x = 11,655,135,120.57
  5. Step 5: Solve for x
    x = 11,655,135,120.57/120,853.59
  6. Step 6: Final answer
    x = 96,440.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.