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Finding the Fourth Proportional to 138,676.19, 208,045.61 and 43,912.13

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Solution

The fourth proportional to 138,676.19, 208,045.61 and 43,912.13 is: 65,878.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,676.19 : 208,045.61 = 43,912.13 : x
  2. Step 2: Convert to fraction form
    138,676.19/208,045.61 = 43,912.13/x
  3. Step 3: Cross multiply
    138,676.19x = 208,045.61 × 43,912.13
  4. Step 4: Simplify right side
    138,676.19x = 9,135,725,652.69
  5. Step 5: Solve for x
    x = 9,135,725,652.69/138,676.19
  6. Step 6: Final answer
    x = 65,878.11

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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.