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Finding the Fourth Proportional to 138,783.43, 208,174.46 and 33,602.39

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Solution

The fourth proportional to 138,783.43, 208,174.46 and 33,602.39 is: 50,403.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,783.43 : 208,174.46 = 33,602.39 : x
  2. Step 2: Convert to fraction form
    138,783.43/208,174.46 = 33,602.39/x
  3. Step 3: Cross multiply
    138,783.43x = 208,174.46 × 33,602.39
  4. Step 4: Simplify right side
    138,783.43x = 6,995,160,135.71
  5. Step 5: Solve for x
    x = 6,995,160,135.71/138,783.43
  6. Step 6: Final answer
    x = 50,403.43

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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.