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Finding the Fourth Proportional to 415,110.20, 622,742.10 and 134,636.60

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Solution

The fourth proportional to 415,110.20, 622,742.10 and 134,636.60 is: 201,979.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,110.20 : 622,742.10 = 134,636.60 : x
  2. Step 2: Convert to fraction form
    415,110.20/622,742.10 = 134,636.60/x
  3. Step 3: Cross multiply
    415,110.20x = 622,742.10 × 134,636.60
  4. Step 4: Simplify right side
    415,110.20x = 83,843,879,020.86
  5. Step 5: Solve for x
    x = 83,843,879,020.86/415,110.20
  6. Step 6: Final answer
    x = 201,979.81

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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.