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Finding the Fourth Proportional to 276,153.76, 413,730.06 and 126,519.22

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Solution

The fourth proportional to 276,153.76, 413,730.06 and 126,519.22 is: 189,549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,153.76 : 413,730.06 = 126,519.22 : x
  2. Step 2: Convert to fraction form
    276,153.76/413,730.06 = 126,519.22/x
  3. Step 3: Cross multiply
    276,153.76x = 413,730.06 × 126,519.22
  4. Step 4: Simplify right side
    276,153.76x = 52,344,804,481.75
  5. Step 5: Solve for x
    x = 52,344,804,481.75/276,153.76
  6. Step 6: Final answer
    x = 189,549.49

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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.