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Finding the Fourth Proportional to 206,921.70, 285,530.67 and 116,263.26

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Solution

The fourth proportional to 206,921.70, 285,530.67 and 116,263.26 is: 160,431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,921.70 : 285,530.67 = 116,263.26 : x
  2. Step 2: Convert to fraction form
    206,921.70/285,530.67 = 116,263.26/x
  3. Step 3: Cross multiply
    206,921.70x = 285,530.67 × 116,263.26
  4. Step 4: Simplify right side
    206,921.70x = 33,196,726,524.18
  5. Step 5: Solve for x
    x = 33,196,726,524.18/206,921.70
  6. Step 6: Final answer
    x = 160,431.34

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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.