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Finding the Fourth Proportional to 119,200.80, 178,801.20 and 106,759.20

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Solution

The fourth proportional to 119,200.80, 178,801.20 and 106,759.20 is: 160,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,200.80 : 178,801.20 = 106,759.20 : x
  2. Step 2: Convert to fraction form
    119,200.80/178,801.20 = 106,759.20/x
  3. Step 3: Cross multiply
    119,200.80x = 178,801.20 × 106,759.20
  4. Step 4: Simplify right side
    119,200.80x = 19,088,673,071.04
  5. Step 5: Solve for x
    x = 19,088,673,071.04/119,200.80
  6. Step 6: Final answer
    x = 160,138.80

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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.