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Finding the Fourth Proportional to 177,296.80, 265,945.20 and 164,855.20

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Solution

The fourth proportional to 177,296.80, 265,945.20 and 164,855.20 is: 247,282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,296.80 : 265,945.20 = 164,855.20 : x
  2. Step 2: Convert to fraction form
    177,296.80/265,945.20 = 164,855.20/x
  3. Step 3: Cross multiply
    177,296.80x = 265,945.20 × 164,855.20
  4. Step 4: Simplify right side
    177,296.80x = 43,842,449,135.04
  5. Step 5: Solve for x
    x = 43,842,449,135.04/177,296.80
  6. Step 6: Final answer
    x = 247,282.80

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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.