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Finding the Fourth Proportional to 305,122.10, 421,093.34 and 169,198.65

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Solution

The fourth proportional to 305,122.10, 421,093.34 and 169,198.65 is: 233,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,122.10 : 421,093.34 = 169,198.65 : x
  2. Step 2: Convert to fraction form
    305,122.10/421,093.34 = 169,198.65/x
  3. Step 3: Cross multiply
    305,122.10x = 421,093.34 × 169,198.65
  4. Step 4: Simplify right side
    305,122.10x = 71,248,423,806.00
  5. Step 5: Solve for x
    x = 71,248,423,806.00/305,122.10
  6. Step 6: Final answer
    x = 233,507.91

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