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Finding the Fourth Proportional to 137,029.77, 189,131.58 and 83,303.37

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Solution

The fourth proportional to 137,029.77, 189,131.58 and 83,303.37 is: 114,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,029.77 : 189,131.58 = 83,303.37 : x
  2. Step 2: Convert to fraction form
    137,029.77/189,131.58 = 83,303.37/x
  3. Step 3: Cross multiply
    137,029.77x = 189,131.58 × 83,303.37
  4. Step 4: Simplify right side
    137,029.77x = 15,755,297,987.42
  5. Step 5: Solve for x
    x = 15,755,297,987.42/137,029.77
  6. Step 6: Final answer
    x = 114,977.19

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