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Finding the Fourth Proportional to 176,129.80, 263,892.30 and 82,443.40

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Solution

The fourth proportional to 176,129.80, 263,892.30 and 82,443.40 is: 123,523.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,129.80 : 263,892.30 = 82,443.40 : x
  2. Step 2: Convert to fraction form
    176,129.80/263,892.30 = 82,443.40/x
  3. Step 3: Cross multiply
    176,129.80x = 263,892.30 × 82,443.40
  4. Step 4: Simplify right side
    176,129.80x = 21,756,178,445.82
  5. Step 5: Solve for x
    x = 21,756,178,445.82/176,129.80
  6. Step 6: Final answer
    x = 123,523.55

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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.