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Finding the Fourth Proportional to 180,628.74, 270,932.68 and 54,266.28

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Solution

The fourth proportional to 180,628.74, 270,932.68 and 54,266.28 is: 81,396.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,628.74 : 270,932.68 = 54,266.28 : x
  2. Step 2: Convert to fraction form
    180,628.74/270,932.68 = 54,266.28/x
  3. Step 3: Cross multiply
    180,628.74x = 270,932.68 × 54,266.28
  4. Step 4: Simplify right side
    180,628.74x = 14,702,508,674.03
  5. Step 5: Solve for x
    x = 14,702,508,674.03/180,628.74
  6. Step 6: Final answer
    x = 81,396.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.