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Finding the Fourth Proportional to 427,091.59, 640,703 and 142,729.62

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Solution

The fourth proportional to 427,091.59, 640,703 and 142,729.62 is: 214,116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,091.59 : 640,703 = 142,729.62 : x
  2. Step 2: Convert to fraction form
    427,091.59/640,703 = 142,729.62/x
  3. Step 3: Cross multiply
    427,091.59x = 640,703 × 142,729.62
  4. Step 4: Simplify right side
    427,091.59x = 91,447,295,722.86
  5. Step 5: Solve for x
    x = 91,447,295,722.86/427,091.59
  6. Step 6: Final answer
    x = 214,116.36

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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.