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Finding the Fourth Proportional to 100,265.00, 150,402.01 and 32,800.87

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Solution

The fourth proportional to 100,265.00, 150,402.01 and 32,800.87 is: 49,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,265.00 : 150,402.01 = 32,800.87 : x
  2. Step 2: Convert to fraction form
    100,265.00/150,402.01 = 32,800.87/x
  3. Step 3: Cross multiply
    100,265.00x = 150,402.01 × 32,800.87
  4. Step 4: Simplify right side
    100,265.00x = 4,933,316,319.74
  5. Step 5: Solve for x
    x = 4,933,316,319.74/100,265.00
  6. Step 6: Final answer
    x = 49,202.78

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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.