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Finding the Fourth Proportional to 137,227.97, 205,799.94 and 48,460.68

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Solution

The fourth proportional to 137,227.97, 205,799.94 and 48,460.68 is: 72,676.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,227.97 : 205,799.94 = 48,460.68 : x
  2. Step 2: Convert to fraction form
    137,227.97/205,799.94 = 48,460.68/x
  3. Step 3: Cross multiply
    137,227.97x = 205,799.94 × 48,460.68
  4. Step 4: Simplify right side
    137,227.97x = 9,973,205,036.36
  5. Step 5: Solve for x
    x = 9,973,205,036.36/137,227.97
  6. Step 6: Final answer
    x = 72,676.18

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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.