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Finding the Fourth Proportional to 137,190.86, 205,519.99 and 101,101.83

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Solution

The fourth proportional to 137,190.86, 205,519.99 and 101,101.83 is: 151,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,190.86 : 205,519.99 = 101,101.83 : x
  2. Step 2: Convert to fraction form
    137,190.86/205,519.99 = 101,101.83/x
  3. Step 3: Cross multiply
    137,190.86x = 205,519.99 × 101,101.83
  4. Step 4: Simplify right side
    137,190.86x = 20,778,447,090.58
  5. Step 5: Solve for x
    x = 20,778,447,090.58/137,190.86
  6. Step 6: Final answer
    x = 151,456.50

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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.