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Finding the Fourth Proportional to 98,114.10, 146,843.10 and 68,589.60

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Solution

The fourth proportional to 98,114.10, 146,843.10 and 68,589.60 is: 102,655.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,114.10 : 146,843.10 = 68,589.60 : x
  2. Step 2: Convert to fraction form
    98,114.10/146,843.10 = 68,589.60/x
  3. Step 3: Cross multiply
    98,114.10x = 146,843.10 × 68,589.60
  4. Step 4: Simplify right side
    98,114.10x = 10,071,909,491.76
  5. Step 5: Solve for x
    x = 10,071,909,491.76/98,114.10
  6. Step 6: Final answer
    x = 102,655.07

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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.