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Finding the Fourth Proportional to 172,694.70, 238,302.41 and 96,206.00

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Solution

The fourth proportional to 172,694.70, 238,302.41 and 96,206.00 is: 132,755.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,694.70 : 238,302.41 = 96,206.00 : x
  2. Step 2: Convert to fraction form
    172,694.70/238,302.41 = 96,206.00/x
  3. Step 3: Cross multiply
    172,694.70x = 238,302.41 × 96,206.00
  4. Step 4: Simplify right side
    172,694.70x = 22,926,119,983.92
  5. Step 5: Solve for x
    x = 22,926,119,983.92/172,694.70
  6. Step 6: Final answer
    x = 132,755.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.