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Finding the Fourth Proportional to 157,394.80, 217,198.49 and 85,773.28

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Solution

The fourth proportional to 157,394.80, 217,198.49 and 85,773.28 is: 118,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,394.80 : 217,198.49 = 85,773.28 : x
  2. Step 2: Convert to fraction form
    157,394.80/217,198.49 = 85,773.28/x
  3. Step 3: Cross multiply
    157,394.80x = 217,198.49 × 85,773.28
  4. Step 4: Simplify right side
    157,394.80x = 18,629,826,898.35
  5. Step 5: Solve for x
    x = 18,629,826,898.35/157,394.80
  6. Step 6: Final answer
    x = 118,363.67

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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.