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Finding the Fourth Proportional to 149,130.68, 205,800 and 82,062.68

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Solution

The fourth proportional to 149,130.68, 205,800 and 82,062.68 is: 113,246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,130.68 : 205,800 = 82,062.68 : x
  2. Step 2: Convert to fraction form
    149,130.68/205,800 = 82,062.68/x
  3. Step 3: Cross multiply
    149,130.68x = 205,800 × 82,062.68
  4. Step 4: Simplify right side
    149,130.68x = 16,888,499,544.00
  5. Step 5: Solve for x
    x = 16,888,499,544.00/149,130.68
  6. Step 6: Final answer
    x = 113,246.31

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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.