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Finding the Fourth Proportional to 98,234.75, 147,352.13 and 35,905.25

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Solution

The fourth proportional to 98,234.75, 147,352.13 and 35,905.25 is: 53,857.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,234.75 : 147,352.13 = 35,905.25 : x
  2. Step 2: Convert to fraction form
    98,234.75/147,352.13 = 35,905.25/x
  3. Step 3: Cross multiply
    98,234.75x = 147,352.13 × 35,905.25
  4. Step 4: Simplify right side
    98,234.75x = 5,290,715,065.68
  5. Step 5: Solve for x
    x = 5,290,715,065.68/98,234.75
  6. Step 6: Final answer
    x = 53,857.88

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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.