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Finding the Fourth Proportional to 189,034.38, 260,861.31 and 108,460.65

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Solution

The fourth proportional to 189,034.38, 260,861.31 and 108,460.65 is: 149,672.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,034.38 : 260,861.31 = 108,460.65 : x
  2. Step 2: Convert to fraction form
    189,034.38/260,861.31 = 108,460.65/x
  3. Step 3: Cross multiply
    189,034.38x = 260,861.31 × 108,460.65
  4. Step 4: Simplify right side
    189,034.38x = 28,293,187,242.45
  5. Step 5: Solve for x
    x = 28,293,187,242.45/189,034.38
  6. Step 6: Final answer
    x = 149,672.18

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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.