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Finding the Fourth Proportional to 182,689.85, 252,144.08 and 106,232.60

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Solution

The fourth proportional to 182,689.85, 252,144.08 and 106,232.60 is: 146,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,689.85 : 252,144.08 = 106,232.60 : x
  2. Step 2: Convert to fraction form
    182,689.85/252,144.08 = 106,232.60/x
  3. Step 3: Cross multiply
    182,689.85x = 252,144.08 × 106,232.60
  4. Step 4: Simplify right side
    182,689.85x = 26,785,919,401.12
  5. Step 5: Solve for x
    x = 26,785,919,401.12/182,689.85
  6. Step 6: Final answer
    x = 146,619.64

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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.