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Finding the Fourth Proportional to 109,239.14, 163,858.64 and 30,353.33

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Solution

The fourth proportional to 109,239.14, 163,858.64 and 30,353.33 is: 45,529.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,239.14 : 163,858.64 = 30,353.33 : x
  2. Step 2: Convert to fraction form
    109,239.14/163,858.64 = 30,353.33/x
  3. Step 3: Cross multiply
    109,239.14x = 163,858.64 × 30,353.33
  4. Step 4: Simplify right side
    109,239.14x = 4,973,655,221.50
  5. Step 5: Solve for x
    x = 4,973,655,221.50/109,239.14
  6. Step 6: Final answer
    x = 45,529.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.