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Finding the Fourth Proportional to 177,193.20, 265,984.20 and 110,708.40

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Solution

The fourth proportional to 177,193.20, 265,984.20 and 110,708.40 is: 166,184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,193.20 : 265,984.20 = 110,708.40 : x
  2. Step 2: Convert to fraction form
    177,193.20/265,984.20 = 110,708.40/x
  3. Step 3: Cross multiply
    177,193.20x = 265,984.20 × 110,708.40
  4. Step 4: Simplify right side
    177,193.20x = 29,446,685,207.28
  5. Step 5: Solve for x
    x = 29,446,685,207.28/177,193.20
  6. Step 6: Final answer
    x = 166,184.06

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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.