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Finding the Fourth Proportional to 230,200.95, 345,624.48 and 117,961.83

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Solution

The fourth proportional to 230,200.95, 345,624.48 and 117,961.83 is: 177,108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,200.95 : 345,624.48 = 117,961.83 : x
  2. Step 2: Convert to fraction form
    230,200.95/345,624.48 = 117,961.83/x
  3. Step 3: Cross multiply
    230,200.95x = 345,624.48 × 117,961.83
  4. Step 4: Simplify right side
    230,200.95x = 40,770,496,153.60
  5. Step 5: Solve for x
    x = 40,770,496,153.60/230,200.95
  6. Step 6: Final answer
    x = 177,108.29

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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.