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Finding the Fourth Proportional to 176,410.92, 265,141.26 and 82,982.28

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Solution

The fourth proportional to 176,410.92, 265,141.26 and 82,982.28 is: 124,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,410.92 : 265,141.26 = 82,982.28 : x
  2. Step 2: Convert to fraction form
    176,410.92/265,141.26 = 82,982.28/x
  3. Step 3: Cross multiply
    176,410.92x = 265,141.26 × 82,982.28
  4. Step 4: Simplify right side
    176,410.92x = 22,002,026,276.87
  5. Step 5: Solve for x
    x = 22,002,026,276.87/176,410.92
  6. Step 6: Final answer
    x = 124,720.32

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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.