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Finding the Fourth Proportional to 276,364.55, 413,882.50 and 157,676.06

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Solution

The fourth proportional to 276,364.55, 413,882.50 and 157,676.06 is: 236,135.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,364.55 : 413,882.50 = 157,676.06 : x
  2. Step 2: Convert to fraction form
    276,364.55/413,882.50 = 157,676.06/x
  3. Step 3: Cross multiply
    276,364.55x = 413,882.50 × 157,676.06
  4. Step 4: Simplify right side
    276,364.55x = 65,259,361,902.95
  5. Step 5: Solve for x
    x = 65,259,361,902.95/276,364.55
  6. Step 6: Final answer
    x = 236,135.07

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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.