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Finding the Fourth Proportional to 177,273.50, 265,761.12 and 82,455.50

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Solution

The fourth proportional to 177,273.50, 265,761.12 and 82,455.50 is: 123,613.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,273.50 : 265,761.12 = 82,455.50 : x
  2. Step 2: Convert to fraction form
    177,273.50/265,761.12 = 82,455.50/x
  3. Step 3: Cross multiply
    177,273.50x = 265,761.12 × 82,455.50
  4. Step 4: Simplify right side
    177,273.50x = 21,913,466,030.16
  5. Step 5: Solve for x
    x = 21,913,466,030.16/177,273.50
  6. Step 6: Final answer
    x = 123,613.88

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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.