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Finding the Fourth Proportional to 177,274.50, 265,762.62 and 82,456.50

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Solution

The fourth proportional to 177,274.50, 265,762.62 and 82,456.50 is: 123,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,274.50 : 265,762.62 = 82,456.50 : x
  2. Step 2: Convert to fraction form
    177,274.50/265,762.62 = 82,456.50/x
  3. Step 3: Cross multiply
    177,274.50x = 265,762.62 × 82,456.50
  4. Step 4: Simplify right side
    177,274.50x = 21,913,855,476.03
  5. Step 5: Solve for x
    x = 21,913,855,476.03/177,274.50
  6. Step 6: Final answer
    x = 123,615.38

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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.