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Finding the Fourth Proportional to 135,416.99, 202,951.64 and 51,076.70

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Solution

The fourth proportional to 135,416.99, 202,951.64 and 51,076.70 is: 76,549.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,416.99 : 202,951.64 = 51,076.70 : x
  2. Step 2: Convert to fraction form
    135,416.99/202,951.64 = 51,076.70/x
  3. Step 3: Cross multiply
    135,416.99x = 202,951.64 × 51,076.70
  4. Step 4: Simplify right side
    135,416.99x = 10,366,100,098.50
  5. Step 5: Solve for x
    x = 10,366,100,098.50/135,416.99
  6. Step 6: Final answer
    x = 76,549.48

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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.