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Finding the Fourth Proportional to 273,574.96, 410,081.85 and 105,049.91

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Solution

The fourth proportional to 273,574.96, 410,081.85 and 105,049.91 is: 157,467.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,574.96 : 410,081.85 = 105,049.91 : x
  2. Step 2: Convert to fraction form
    273,574.96/410,081.85 = 105,049.91/x
  3. Step 3: Cross multiply
    273,574.96x = 410,081.85 × 105,049.91
  4. Step 4: Simplify right side
    273,574.96x = 43,079,062,460.34
  5. Step 5: Solve for x
    x = 43,079,062,460.34/273,574.96
  6. Step 6: Final answer
    x = 157,467.13

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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.