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Finding the Fourth Proportional to 157,364.92, 217,166.16 and 85,747.96

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Solution

The fourth proportional to 157,364.92, 217,166.16 and 85,747.96 is: 118,333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,364.92 : 217,166.16 = 85,747.96 : x
  2. Step 2: Convert to fraction form
    157,364.92/217,166.16 = 85,747.96/x
  3. Step 3: Cross multiply
    157,364.92x = 217,166.16 × 85,747.96
  4. Step 4: Simplify right side
    157,364.92x = 18,621,555,201.03
  5. Step 5: Solve for x
    x = 18,621,555,201.03/157,364.92
  6. Step 6: Final answer
    x = 118,333.59

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1.5x scale

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.