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Finding the Fourth Proportional to 276,052.10, 413,859.45 and 151,393.10

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Solution

The fourth proportional to 276,052.10, 413,859.45 and 151,393.10 is: 226,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,052.10 : 413,859.45 = 151,393.10 : x
  2. Step 2: Convert to fraction form
    276,052.10/413,859.45 = 151,393.10/x
  3. Step 3: Cross multiply
    276,052.10x = 413,859.45 × 151,393.10
  4. Step 4: Simplify right side
    276,052.10x = 62,655,465,099.80
  5. Step 5: Solve for x
    x = 62,655,465,099.80/276,052.10
  6. Step 6: Final answer
    x = 226,969.71

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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.