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Finding the Fourth Proportional to 157,352.76, 217,144.05 and 85,733.30

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Solution

The fourth proportional to 157,352.76, 217,144.05 and 85,733.30 is: 118,310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,352.76 : 217,144.05 = 85,733.30 : x
  2. Step 2: Convert to fraction form
    157,352.76/217,144.05 = 85,733.30/x
  3. Step 3: Cross multiply
    157,352.76x = 217,144.05 × 85,733.30
  4. Step 4: Simplify right side
    157,352.76x = 18,616,474,896.14
  5. Step 5: Solve for x
    x = 18,616,474,896.14/157,352.76
  6. Step 6: Final answer
    x = 118,310.44

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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.