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Finding the Fourth Proportional to 177,115.80, 265,673.70 and 52,456.80

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Solution

The fourth proportional to 177,115.80, 265,673.70 and 52,456.80 is: 78,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,115.80 : 265,673.70 = 52,456.80 : x
  2. Step 2: Convert to fraction form
    177,115.80/265,673.70 = 52,456.80/x
  3. Step 3: Cross multiply
    177,115.80x = 265,673.70 × 52,456.80
  4. Step 4: Simplify right side
    177,115.80x = 13,936,392,146.16
  5. Step 5: Solve for x
    x = 13,936,392,146.16/177,115.80
  6. Step 6: Final answer
    x = 78,685.20

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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.