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Finding the Fourth Proportional to 276,890.56, 382,109.13 and 149,566.16

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Solution

The fourth proportional to 276,890.56, 382,109.13 and 149,566.16 is: 206,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,890.56 : 382,109.13 = 149,566.16 : x
  2. Step 2: Convert to fraction form
    276,890.56/382,109.13 = 149,566.16/x
  3. Step 3: Cross multiply
    276,890.56x = 382,109.13 × 149,566.16
  4. Step 4: Simplify right side
    276,890.56x = 57,150,595,275.04
  5. Step 5: Solve for x
    x = 57,150,595,275.04/276,890.56
  6. Step 6: Final answer
    x = 206,401.39

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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.