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Finding the Fourth Proportional to 98,064.82, 147,097.22 and 68,540.32

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Solution

The fourth proportional to 98,064.82, 147,097.22 and 68,540.32 is: 102,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,064.82 : 147,097.22 = 68,540.32 : x
  2. Step 2: Convert to fraction form
    98,064.82/147,097.22 = 68,540.32/x
  3. Step 3: Cross multiply
    98,064.82x = 147,097.22 × 68,540.32
  4. Step 4: Simplify right side
    98,064.82x = 10,082,089,794.42
  5. Step 5: Solve for x
    x = 10,082,089,794.42/98,064.82
  6. Step 6: Final answer
    x = 102,810.47

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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.