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Finding the Fourth Proportional to 135,498.51, 203,174.46 and 107,598.06

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Solution

The fourth proportional to 135,498.51, 203,174.46 and 107,598.06 is: 161,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,498.51 : 203,174.46 = 107,598.06 : x
  2. Step 2: Convert to fraction form
    135,498.51/203,174.46 = 107,598.06/x
  3. Step 3: Cross multiply
    135,498.51x = 203,174.46 × 107,598.06
  4. Step 4: Simplify right side
    135,498.51x = 21,861,177,737.55
  5. Step 5: Solve for x
    x = 21,861,177,737.55/135,498.51
  6. Step 6: Final answer
    x = 161,338.88

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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.