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Finding the Fourth Proportional to 157,311.18, 217,104.71 and 96,922.44

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Solution

The fourth proportional to 157,311.18, 217,104.71 and 96,922.44 is: 133,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,311.18 : 217,104.71 = 96,922.44 : x
  2. Step 2: Convert to fraction form
    157,311.18/217,104.71 = 96,922.44/x
  3. Step 3: Cross multiply
    157,311.18x = 217,104.71 × 96,922.44
  4. Step 4: Simplify right side
    157,311.18x = 21,042,317,744.08
  5. Step 5: Solve for x
    x = 21,042,317,744.08/157,311.18
  6. Step 6: Final answer
    x = 133,762.38

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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.