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Finding the Fourth Proportional to 155,166.20, 232,749.30 and 149,261.30

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Solution

The fourth proportional to 155,166.20, 232,749.30 and 149,261.30 is: 223,891.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,166.20 : 232,749.30 = 149,261.30 : x
  2. Step 2: Convert to fraction form
    155,166.20/232,749.30 = 149,261.30/x
  3. Step 3: Cross multiply
    155,166.20x = 232,749.30 × 149,261.30
  4. Step 4: Simplify right side
    155,166.20x = 34,740,463,092.09
  5. Step 5: Solve for x
    x = 34,740,463,092.09/155,166.20
  6. Step 6: Final answer
    x = 223,891.95

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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.