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Finding the Fourth Proportional to 297,155.83, 410,073.70 and 161,189.84

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Solution

The fourth proportional to 297,155.83, 410,073.70 and 161,189.84 is: 222,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,155.83 : 410,073.70 = 161,189.84 : x
  2. Step 2: Convert to fraction form
    297,155.83/410,073.70 = 161,189.84/x
  3. Step 3: Cross multiply
    297,155.83x = 410,073.70 × 161,189.84
  4. Step 4: Simplify right side
    297,155.83x = 66,099,714,091.21
  5. Step 5: Solve for x
    x = 66,099,714,091.21/297,155.83
  6. Step 6: Final answer
    x = 222,441.25

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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.