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Finding the Fourth Proportional to 137,893.58, 206,852.30 and 38,053.79

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Solution

The fourth proportional to 137,893.58, 206,852.30 and 38,053.79 is: 57,083.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,893.58 : 206,852.30 = 38,053.79 : x
  2. Step 2: Convert to fraction form
    137,893.58/206,852.30 = 38,053.79/x
  3. Step 3: Cross multiply
    137,893.58x = 206,852.30 × 38,053.79
  4. Step 4: Simplify right side
    137,893.58x = 7,871,512,760.69
  5. Step 5: Solve for x
    x = 7,871,512,760.69/137,893.58
  6. Step 6: Final answer
    x = 57,083.97

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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.