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Finding the Fourth Proportional to 157,954.26, 217,835.73 and 131,054.16

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Solution

The fourth proportional to 157,954.26, 217,835.73 and 131,054.16 is: 180,737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,954.26 : 217,835.73 = 131,054.16 : x
  2. Step 2: Convert to fraction form
    157,954.26/217,835.73 = 131,054.16/x
  3. Step 3: Cross multiply
    157,954.26x = 217,835.73 × 131,054.16
  4. Step 4: Simplify right side
    157,954.26x = 28,548,278,613.14
  5. Step 5: Solve for x
    x = 28,548,278,613.14/157,954.26
  6. Step 6: Final answer
    x = 180,737.63

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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.