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Finding the Fourth Proportional to 177,002.30, 265,503.45 and 82,232.30

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Solution

The fourth proportional to 177,002.30, 265,503.45 and 82,232.30 is: 123,348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,002.30 : 265,503.45 = 82,232.30 : x
  2. Step 2: Convert to fraction form
    177,002.30/265,503.45 = 82,232.30/x
  3. Step 3: Cross multiply
    177,002.30x = 265,503.45 × 82,232.30
  4. Step 4: Simplify right side
    177,002.30x = 21,832,959,351.44
  5. Step 5: Solve for x
    x = 21,832,959,351.44/177,002.30
  6. Step 6: Final answer
    x = 123,348.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.