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Finding the Fourth Proportional to 103,201.77, 154,846.49 and 56,399.97

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Solution

The fourth proportional to 103,201.77, 154,846.49 and 56,399.97 is: 84,623.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,201.77 : 154,846.49 = 56,399.97 : x
  2. Step 2: Convert to fraction form
    103,201.77/154,846.49 = 56,399.97/x
  3. Step 3: Cross multiply
    103,201.77x = 154,846.49 × 56,399.97
  4. Step 4: Simplify right side
    103,201.77x = 8,733,337,108.61
  5. Step 5: Solve for x
    x = 8,733,337,108.61/103,201.77
  6. Step 6: Final answer
    x = 84,623.91

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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.