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Finding the Fourth Proportional to 98,120.69, 147,202.98 and 35,791.19

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Solution

The fourth proportional to 98,120.69, 147,202.98 and 35,791.19 is: 53,694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,120.69 : 147,202.98 = 35,791.19 : x
  2. Step 2: Convert to fraction form
    98,120.69/147,202.98 = 35,791.19/x
  3. Step 3: Cross multiply
    98,120.69x = 147,202.98 × 35,791.19
  4. Step 4: Simplify right side
    98,120.69x = 5,268,569,825.75
  5. Step 5: Solve for x
    x = 5,268,569,825.75/98,120.69
  6. Step 6: Final answer
    x = 53,694.79

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Why These Related Problems?

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