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Finding the Fourth Proportional to 177,272.50, 265,759.60 and 82,454.50

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Solution

The fourth proportional to 177,272.50, 265,759.60 and 82,454.50 is: 123,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,272.50 : 265,759.60 = 82,454.50 : x
  2. Step 2: Convert to fraction form
    177,272.50/265,759.60 = 82,454.50/x
  3. Step 3: Cross multiply
    177,272.50x = 265,759.60 × 82,454.50
  4. Step 4: Simplify right side
    177,272.50x = 21,913,074,938.20
  5. Step 5: Solve for x
    x = 21,913,074,938.20/177,272.50
  6. Step 6: Final answer
    x = 123,612.38

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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.