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Finding the Fourth Proportional to 176,411.30, 265,141.82 and 82,982.66

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Solution

The fourth proportional to 176,411.30, 265,141.82 and 82,982.66 is: 124,720.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,411.30 : 265,141.82 = 82,982.66 : x
  2. Step 2: Convert to fraction form
    176,411.30/265,141.82 = 82,982.66/x
  3. Step 3: Cross multiply
    176,411.30x = 265,141.82 × 82,982.66
  4. Step 4: Simplify right side
    176,411.30x = 22,002,172,382.59
  5. Step 5: Solve for x
    x = 22,002,172,382.59/176,411.30
  6. Step 6: Final answer
    x = 124,720.88

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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.