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Finding the Fourth Proportional to 365,983.44, 548,898.36 and 103,266

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Solution

The fourth proportional to 365,983.44, 548,898.36 and 103,266 is: 154,877.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,983.44 : 548,898.36 = 103,266 : x
  2. Step 2: Convert to fraction form
    365,983.44/548,898.36 = 103,266/x
  3. Step 3: Cross multiply
    365,983.44x = 548,898.36 × 103,266
  4. Step 4: Simplify right side
    365,983.44x = 56,682,538,043.76
  5. Step 5: Solve for x
    x = 56,682,538,043.76/365,983.44
  6. Step 6: Final answer
    x = 154,877.33

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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.