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Finding the Fourth Proportional to 135,902.20, 203,853.30 and 116,875.30

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Solution

The fourth proportional to 135,902.20, 203,853.30 and 116,875.30 is: 175,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,902.20 : 203,853.30 = 116,875.30 : x
  2. Step 2: Convert to fraction form
    135,902.20/203,853.30 = 116,875.30/x
  3. Step 3: Cross multiply
    135,902.20x = 203,853.30 × 116,875.30
  4. Step 4: Simplify right side
    135,902.20x = 23,825,415,593.49
  5. Step 5: Solve for x
    x = 23,825,415,593.49/135,902.20
  6. Step 6: Final answer
    x = 175,312.95

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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.