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Finding the Fourth Proportional to 130,139.20, 194,917.20 and 106,811.20

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Solution

The fourth proportional to 130,139.20, 194,917.20 and 106,811.20 is: 159,977.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,139.20 : 194,917.20 = 106,811.20 : x
  2. Step 2: Convert to fraction form
    130,139.20/194,917.20 = 106,811.20/x
  3. Step 3: Cross multiply
    130,139.20x = 194,917.20 × 106,811.20
  4. Step 4: Simplify right side
    130,139.20x = 20,819,340,032.64
  5. Step 5: Solve for x
    x = 20,819,340,032.64/130,139.20
  6. Step 6: Final answer
    x = 159,977.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.