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Finding the Fourth Proportional to 137,093.73, 188,768.73 and 120,002.31

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Solution

The fourth proportional to 137,093.73, 188,768.73 and 120,002.31 is: 165,235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,093.73 : 188,768.73 = 120,002.31 : x
  2. Step 2: Convert to fraction form
    137,093.73/188,768.73 = 120,002.31/x
  3. Step 3: Cross multiply
    137,093.73x = 188,768.73 × 120,002.31
  4. Step 4: Simplify right side
    137,093.73x = 22,652,683,655.77
  5. Step 5: Solve for x
    x = 22,652,683,655.77/137,093.73
  6. Step 6: Final answer
    x = 165,235.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.