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Finding the Fourth Proportional to 365,921.44, 548,805.36 and 103,204

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Solution

The fourth proportional to 365,921.44, 548,805.36 and 103,204 is: 154,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,921.44 : 548,805.36 = 103,204 : x
  2. Step 2: Convert to fraction form
    365,921.44/548,805.36 = 103,204/x
  3. Step 3: Cross multiply
    365,921.44x = 548,805.36 × 103,204
  4. Step 4: Simplify right side
    365,921.44x = 56,638,908,373.44
  5. Step 5: Solve for x
    x = 56,638,908,373.44/365,921.44
  6. Step 6: Final answer
    x = 154,784.34

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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.