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Finding the Fourth Proportional to 177,163.20, 265,744.80 and 102,513.60

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Solution

The fourth proportional to 177,163.20, 265,744.80 and 102,513.60 is: 153,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,163.20 : 265,744.80 = 102,513.60 : x
  2. Step 2: Convert to fraction form
    177,163.20/265,744.80 = 102,513.60/x
  3. Step 3: Cross multiply
    177,163.20x = 265,744.80 × 102,513.60
  4. Step 4: Simplify right side
    177,163.20x = 27,242,456,129.28
  5. Step 5: Solve for x
    x = 27,242,456,129.28/177,163.20
  6. Step 6: Final answer
    x = 153,770.40

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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.