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Finding the Fourth Proportional to 138,761.58, 208,143.58 and 33,580.64

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Solution

The fourth proportional to 138,761.58, 208,143.58 and 33,580.64 is: 50,371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,761.58 : 208,143.58 = 33,580.64 : x
  2. Step 2: Convert to fraction form
    138,761.58/208,143.58 = 33,580.64/x
  3. Step 3: Cross multiply
    138,761.58x = 208,143.58 × 33,580.64
  4. Step 4: Simplify right side
    138,761.58x = 6,989,594,628.29
  5. Step 5: Solve for x
    x = 6,989,594,628.29/138,761.58
  6. Step 6: Final answer
    x = 50,371.25

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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.