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Finding the Fourth Proportional to 138,783.35, 208,174.35 and 33,602.33

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Solution

The fourth proportional to 138,783.35, 208,174.35 and 33,602.33 is: 50,403.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,783.35 : 208,174.35 = 33,602.33 : x
  2. Step 2: Convert to fraction form
    138,783.35/208,174.35 = 33,602.33/x
  3. Step 3: Cross multiply
    138,783.35x = 208,174.35 × 33,602.33
  4. Step 4: Simplify right side
    138,783.35x = 6,995,143,206.24
  5. Step 5: Solve for x
    x = 6,995,143,206.24/138,783.35
  6. Step 6: Final answer
    x = 50,403.33

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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.