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Finding the Fourth Proportional to 135,404.10, 203,106.15 and 133,071.30

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Solution

The fourth proportional to 135,404.10, 203,106.15 and 133,071.30 is: 199,606.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,404.10 : 203,106.15 = 133,071.30 : x
  2. Step 2: Convert to fraction form
    135,404.10/203,106.15 = 133,071.30/x
  3. Step 3: Cross multiply
    135,404.10x = 203,106.15 × 133,071.30
  4. Step 4: Simplify right side
    135,404.10x = 27,027,599,418.50
  5. Step 5: Solve for x
    x = 27,027,599,418.50/135,404.10
  6. Step 6: Final answer
    x = 199,606.95

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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.