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Finding the Fourth Proportional to 172,064.70, 258,097.05 and 136,635.30

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Solution

The fourth proportional to 172,064.70, 258,097.05 and 136,635.30 is: 204,952.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,064.70 : 258,097.05 = 136,635.30 : x
  2. Step 2: Convert to fraction form
    172,064.70/258,097.05 = 136,635.30/x
  3. Step 3: Cross multiply
    172,064.70x = 258,097.05 × 136,635.30
  4. Step 4: Simplify right side
    172,064.70x = 35,265,167,855.87
  5. Step 5: Solve for x
    x = 35,265,167,855.87/172,064.70
  6. Step 6: Final answer
    x = 204,952.95

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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.