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Finding the Fourth Proportional to 177,165.10, 265,747.65 and 174,540.70

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Solution

The fourth proportional to 177,165.10, 265,747.65 and 174,540.70 is: 261,811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,165.10 : 265,747.65 = 174,540.70 : x
  2. Step 2: Convert to fraction form
    177,165.10/265,747.65 = 174,540.70/x
  3. Step 3: Cross multiply
    177,165.10x = 265,747.65 × 174,540.70
  4. Step 4: Simplify right side
    177,165.10x = 46,383,780,854.36
  5. Step 5: Solve for x
    x = 46,383,780,854.36/177,165.10
  6. Step 6: Final answer
    x = 261,811.05

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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.