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Finding the Fourth Proportional to 300,183.66, 414,256.72 and 164,214.69

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Solution

The fourth proportional to 300,183.66, 414,256.72 and 164,214.69 is: 226,618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,183.66 : 414,256.72 = 164,214.69 : x
  2. Step 2: Convert to fraction form
    300,183.66/414,256.72 = 164,214.69/x
  3. Step 3: Cross multiply
    300,183.66x = 414,256.72 × 164,214.69
  4. Step 4: Simplify right side
    300,183.66x = 68,027,035,962.86
  5. Step 5: Solve for x
    x = 68,027,035,962.86/300,183.66
  6. Step 6: Final answer
    x = 226,618.05

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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.