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Finding the Fourth Proportional to 177,144.64, 265,671.60 and 52,456.48

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Solution

The fourth proportional to 177,144.64, 265,671.60 and 52,456.48 is: 78,671.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,144.64 : 265,671.60 = 52,456.48 : x
  2. Step 2: Convert to fraction form
    177,144.64/265,671.60 = 52,456.48/x
  3. Step 3: Cross multiply
    177,144.64x = 265,671.60 × 52,456.48
  4. Step 4: Simplify right side
    177,144.64x = 13,936,196,971.97
  5. Step 5: Solve for x
    x = 13,936,196,971.97/177,144.64
  6. Step 6: Final answer
    x = 78,671.29

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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.