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Finding the Fourth Proportional to 157,813.50, 217,789.70 and 86,194.11

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Solution

The fourth proportional to 157,813.50, 217,789.70 and 86,194.11 is: 118,951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,813.50 : 217,789.70 = 86,194.11 : x
  2. Step 2: Convert to fraction form
    157,813.50/217,789.70 = 86,194.11/x
  3. Step 3: Cross multiply
    157,813.50x = 217,789.70 × 86,194.11
  4. Step 4: Simplify right side
    157,813.50x = 18,772,188,485.20
  5. Step 5: Solve for x
    x = 18,772,188,485.20/157,813.50
  6. Step 6: Final answer
    x = 118,951.73

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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.