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Finding the Fourth Proportional to 130,205.20, 195,725.40 and 120,960.40

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Solution

The fourth proportional to 130,205.20, 195,725.40 and 120,960.40 is: 181,828.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,205.20 : 195,725.40 = 120,960.40 : x
  2. Step 2: Convert to fraction form
    130,205.20/195,725.40 = 120,960.40/x
  3. Step 3: Cross multiply
    130,205.20x = 195,725.40 × 120,960.40
  4. Step 4: Simplify right side
    130,205.20x = 23,675,022,674.16
  5. Step 5: Solve for x
    x = 23,675,022,674.16/130,205.20
  6. Step 6: Final answer
    x = 181,828.55

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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.