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Finding the Fourth Proportional to 135,966.36, 203,978.70 and 57,035.10

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Solution

The fourth proportional to 135,966.36, 203,978.70 and 57,035.10 is: 85,564.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,966.36 : 203,978.70 = 57,035.10 : x
  2. Step 2: Convert to fraction form
    135,966.36/203,978.70 = 57,035.10/x
  3. Step 3: Cross multiply
    135,966.36x = 203,978.70 × 57,035.10
  4. Step 4: Simplify right side
    135,966.36x = 11,633,945,552.37
  5. Step 5: Solve for x
    x = 11,633,945,552.37/135,966.36
  6. Step 6: Final answer
    x = 85,564.88

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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.