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Finding the Fourth Proportional to 223,542.72, 308,616.48 and 148,193.28

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Solution

The fourth proportional to 223,542.72, 308,616.48 and 148,193.28 is: 204,591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,542.72 : 308,616.48 = 148,193.28 : x
  2. Step 2: Convert to fraction form
    223,542.72/308,616.48 = 148,193.28/x
  3. Step 3: Cross multiply
    223,542.72x = 308,616.48 × 148,193.28
  4. Step 4: Simplify right side
    223,542.72x = 45,734,888,433.25
  5. Step 5: Solve for x
    x = 45,734,888,433.25/223,542.72
  6. Step 6: Final answer
    x = 204,591.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.