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Finding the Fourth Proportional to 138,853.85, 208,281.45 and 33,672.78

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Solution

The fourth proportional to 138,853.85, 208,281.45 and 33,672.78 is: 50,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,853.85 : 208,281.45 = 33,672.78 : x
  2. Step 2: Convert to fraction form
    138,853.85/208,281.45 = 33,672.78/x
  3. Step 3: Cross multiply
    138,853.85x = 208,281.45 × 33,672.78
  4. Step 4: Simplify right side
    138,853.85x = 7,013,415,443.93
  5. Step 5: Solve for x
    x = 7,013,415,443.93/138,853.85
  6. Step 6: Final answer
    x = 50,509.34

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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.