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Finding the Fourth Proportional to 135,820.20, 203,730.30 and 100,828.20

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Solution

The fourth proportional to 135,820.20, 203,730.30 and 100,828.20 is: 151,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,820.20 : 203,730.30 = 100,828.20 : x
  2. Step 2: Convert to fraction form
    135,820.20/203,730.30 = 100,828.20/x
  3. Step 3: Cross multiply
    135,820.20x = 203,730.30 × 100,828.20
  4. Step 4: Simplify right side
    135,820.20x = 20,541,759,434.46
  5. Step 5: Solve for x
    x = 20,541,759,434.46/135,820.20
  6. Step 6: Final answer
    x = 151,242.30

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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.