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Finding the Fourth Proportional to 208,202.70, 312,257.30 and 95,774.93

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Solution

The fourth proportional to 208,202.70, 312,257.30 and 95,774.93 is: 143,640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,202.70 : 312,257.30 = 95,774.93 : x
  2. Step 2: Convert to fraction form
    208,202.70/312,257.30 = 95,774.93/x
  3. Step 3: Cross multiply
    208,202.70x = 312,257.30 × 95,774.93
  4. Step 4: Simplify right side
    208,202.70x = 29,906,419,009.33
  5. Step 5: Solve for x
    x = 29,906,419,009.33/208,202.70
  6. Step 6: Final answer
    x = 143,640.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.