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Finding the Fourth Proportional to 177,159.20, 265,738.80 and 165,408.80

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Solution

The fourth proportional to 177,159.20, 265,738.80 and 165,408.80 is: 248,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,159.20 : 265,738.80 = 165,408.80 : x
  2. Step 2: Convert to fraction form
    177,159.20/265,738.80 = 165,408.80/x
  3. Step 3: Cross multiply
    177,159.20x = 265,738.80 × 165,408.80
  4. Step 4: Simplify right side
    177,159.20x = 43,955,536,021.44
  5. Step 5: Solve for x
    x = 43,955,536,021.44/177,159.20
  6. Step 6: Final answer
    x = 248,113.20

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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.