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Finding the Fourth Proportional to 101,097.80, 151,743.90 and 51,234.20

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Solution

The fourth proportional to 101,097.80, 151,743.90 and 51,234.20 is: 76,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,097.80 : 151,743.90 = 51,234.20 : x
  2. Step 2: Convert to fraction form
    101,097.80/151,743.90 = 51,234.20/x
  3. Step 3: Cross multiply
    101,097.80x = 151,743.90 × 51,234.20
  4. Step 4: Simplify right side
    101,097.80x = 7,774,477,321.38
  5. Step 5: Solve for x
    x = 7,774,477,321.38/101,097.80
  6. Step 6: Final answer
    x = 76,900.56

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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.