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Finding the Fourth Proportional to 135,838.46, 203,748.06 and 35,996.44

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Solution

The fourth proportional to 135,838.46, 203,748.06 and 35,996.44 is: 53,992.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,838.46 : 203,748.06 = 35,996.44 : x
  2. Step 2: Convert to fraction form
    135,838.46/203,748.06 = 35,996.44/x
  3. Step 3: Cross multiply
    135,838.46x = 203,748.06 × 35,996.44
  4. Step 4: Simplify right side
    135,838.46x = 7,334,203,798.17
  5. Step 5: Solve for x
    x = 7,334,203,798.17/135,838.46
  6. Step 6: Final answer
    x = 53,992.10

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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.